number.wiki
Live analysis

1,056,720

1,056,720 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

1,056,720 (one million fifty-six thousand seven hundred twenty) is an even 7-digit number. It is a composite number with 160 divisors, and factors as 2⁴ × 3 × 5 × 7 × 17 × 37. Its proper divisors sum to 3,014,448, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x101FD0.

Abundant Number Gapful Number Harshad / Niven Odious Number Practical Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
21
Digit product
0
Digital root
3
Palindrome
No
Bit width
21 bits
Reversed
276,501
Square (n²)
1,116,657,158,400
Cube (n³)
1,179,993,952,424,448,000
Divisor count
160
σ(n) — sum of divisors
4,071,168
φ(n) — Euler's totient
221,184
Sum of prime factors
77

Primality

Prime factorization: 2 4 × 3 × 5 × 7 × 17 × 37

Nearest primes: 1,056,719 (−1) · 1,056,721 (+1)

Divisors & multiples

All divisors (160)
1 · 2 · 3 · 4 · 5 · 6 · 7 · 8 · 10 · 12 · 14 · 15 · 16 · 17 · 20 · 21 · 24 · 28 · 30 · 34 · 35 · 37 · 40 · 42 · 48 · 51 · 56 · 60 · 68 · 70 · 74 · 80 · 84 · 85 · 102 · 105 · 111 · 112 · 119 · 120 · 136 · 140 · 148 · 168 · 170 · 185 · 204 · 210 · 222 · 238 · 240 · 255 · 259 · 272 · 280 · 296 · 336 · 340 · 357 · 370 · 408 · 420 · 444 · 476 · 510 · 518 · 555 · 560 · 592 · 595 · 629 · 680 · 714 · 740 · 777 · 816 · 840 · 888 · 952 · 1020 · 1036 · 1110 · 1190 · 1258 · 1295 · 1360 · 1428 · 1480 · 1554 · 1680 · 1776 · 1785 · 1887 · 1904 · 2040 · 2072 · 2220 · 2380 · 2516 · 2590 · 2856 · 2960 · 3108 · 3145 · 3570 · 3774 · 3885 · 4080 · 4144 · 4403 · 4440 · 4760 · 5032 · 5180 · 5712 · 6216 · 6290 · 7140 · 7548 · 7770 · 8806 · 8880 · 9435 · 9520 · 10064 · 10360 · 12432 · 12580 · 13209 · 14280 · 15096 · 15540 · 17612 · 18870 · 20720 · 22015 · 25160 · 26418 · 28560 · 30192 · 31080 · 35224 · 37740 · 44030 · 50320 · 52836 · 62160 · 66045 · 70448 · 75480 · 88060 · 105672 · 132090 · 150960 · 176120 · 211344 · 264180 · 352240 · 528360 (half) · 1056720
Aliquot sum (sum of proper divisors): 3,014,448
Factor pairs (a × b = 1,056,720)
1 × 1056720
2 × 528360
3 × 352240
4 × 264180
5 × 211344
6 × 176120
7 × 150960
8 × 132090
10 × 105672
12 × 88060
14 × 75480
15 × 70448
16 × 66045
17 × 62160
20 × 52836
21 × 50320
24 × 44030
28 × 37740
30 × 35224
34 × 31080
35 × 30192
37 × 28560
40 × 26418
42 × 25160
48 × 22015
51 × 20720
56 × 18870
60 × 17612
68 × 15540
70 × 15096
74 × 14280
80 × 13209
84 × 12580
85 × 12432
102 × 10360
105 × 10064
111 × 9520
112 × 9435
119 × 8880
120 × 8806
136 × 7770
140 × 7548
148 × 7140
168 × 6290
170 × 6216
185 × 5712
204 × 5180
210 × 5032
222 × 4760
238 × 4440
240 × 4403
255 × 4144
259 × 4080
272 × 3885
280 × 3774
296 × 3570
336 × 3145
340 × 3108
357 × 2960
370 × 2856
408 × 2590
420 × 2516
444 × 2380
476 × 2220
510 × 2072
518 × 2040
555 × 1904
560 × 1887
592 × 1785
595 × 1776
629 × 1680
680 × 1554
714 × 1480
740 × 1428
777 × 1360
816 × 1295
840 × 1258
888 × 1190
952 × 1110
1020 × 1036
First multiples
1,056,720 · 2,113,440 (double) · 3,170,160 · 4,226,880 · 5,283,600 · 6,340,320 · 7,397,040 · 8,453,760 · 9,510,480 · 10,567,200

Sums & aliquot sequence

As consecutive integers: 352,239 + 352,240 + 352,241 211,342 + 211,343 + 211,344 + 211,345 + 211,346 150,957 + 150,958 + … + 150,963 70,441 + 70,442 + … + 70,455
Aliquot sequence: 1,056,720 → 3,014,448 → 4,773,000 → 10,876,920 → 21,754,200 → 50,897,400 → 110,811,000 → 243,371,400 → 528,707,160 → 1,189,592,280 → 2,880,088,920 → 6,720,211,080 → 18,360,283,320 — keeps growing

Continued fraction of √n

√1,056,720 = [1027; (1, 31, 8, 31, 1, 2054)]

Period length 6 — the block in parentheses repeats forever.

Representations

In words
one million fifty-six thousand seven hundred twenty
Ordinal
1056720th
Binary
100000001111111010000
Octal
4017720
Hexadecimal
0x101FD0
Base64
EB/Q
One's complement
4,293,910,575 (32-bit)
Scientific notation
1.05672 × 10⁶
As a duration
1,056,720 s = 12 days, 5 hours, 32 minutes
In other bases
ternary (3) 1222200112210
quaternary (4) 10001333100
quinary (5) 232303340
senary (6) 34352120
septenary (7) 11660550
nonary (9) 1880483
undecimal (11) 661a25
duodecimal (12) 42b640
tridecimal (13) 2acca2
tetradecimal (14) 1d7160
pentadecimal (15) 15d180
Palindromic in base 13

As an angle

1,056,720° = 2,935 × 360° + 120°
120° ≈ 2.094 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹 ·
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Chinese
一百零五萬六千七百二十
Chinese (financial)
壹佰零伍萬陸仟柒佰貳拾
In other modern scripts
Eastern Arabic ١٠٥٦٧٢٠ Devanagari १०५६७२० Bengali ১০৫৬৭২০ Tamil ௧௦௫௬௭௨௦ Thai ๑๐๕๖๗๒๐ Tibetan ༡༠༥༦༧༢༠ Khmer ១០៥៦៧២០ Lao ໑໐໕໖໗໒໐ Burmese ၁၀၅၆၇၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1056720, here are decompositions:

  • 13 + 1056707 = 1056720
  • 53 + 1056667 = 1056720
  • 61 + 1056659 = 1056720
  • 79 + 1056641 = 1056720
  • 97 + 1056623 = 1056720
  • 103 + 1056617 = 1056720
  • 107 + 1056613 = 1056720
  • 131 + 1056589 = 1056720

Showing the first eight; more decompositions exist.

Hex color
#101FD0
RGB(16, 31, 208)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.31.208.

Address
0.16.31.208
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.31.208

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible date

Could be parsed as a date. Most likely interpretation: Monday, January 5, 6720 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 6720-05-01 (DMMYYYY (Euro, single-digit day))
  • 6720-10-05 (MMDYYYY (US, single-digit day))
  • 6720-05-10 (DDMYYYY (Euro, single-digit month))
Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 1,056,720 and was likely granted around 1912.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.