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1,015,920

1,015,920 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.).

1,015,920 (one million fifteen thousand nine hundred twenty) is an even 7-digit number. It is a composite number with 120 divisors, and factors as 2⁴ × 3² × 5 × 17 × 83. Its proper divisors sum to 2,640,096, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF8070.

Abundant Number Evil Number Gapful Number Harshad / Niven Practical Number Refactorable Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
20 bits
Reversed
295,101
Square (n²)
1,032,093,446,400
Cube (n³)
1,048,524,374,066,688,000
Divisor count
120
σ(n) — sum of divisors
3,656,016
φ(n) — Euler's totient
251,904
Sum of prime factors
119

Primality

Prime factorization: 2 4 × 3 2 × 5 × 17 × 83

Nearest primes: 1,015,919 (−1) · 1,015,967 (+47)

Divisors & multiples

All divisors (120)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 9 · 10 · 12 · 15 · 16 · 17 · 18 · 20 · 24 · 30 · 34 · 36 · 40 · 45 · 48 · 51 · 60 · 68 · 72 · 80 · 83 · 85 · 90 · 102 · 120 · 136 · 144 · 153 · 166 · 170 · 180 · 204 · 240 · 249 · 255 · 272 · 306 · 332 · 340 · 360 · 408 · 415 · 498 · 510 · 612 · 664 · 680 · 720 · 747 · 765 · 816 · 830 · 996 · 1020 · 1224 · 1245 · 1328 · 1360 · 1411 · 1494 · 1530 · 1660 · 1992 · 2040 · 2448 · 2490 · 2822 · 2988 · 3060 · 3320 · 3735 · 3984 · 4080 · 4233 · 4980 · 5644 · 5976 · 6120 · 6640 · 7055 · 7470 · 8466 · 9960 · 11288 · 11952 · 12240 · 12699 · 14110 · 14940 · 16932 · 19920 · 21165 · 22576 · 25398 · 28220 · 29880 · 33864 · 42330 · 50796 · 56440 · 59760 · 63495 · 67728 · 84660 · 101592 · 112880 · 126990 · 169320 · 203184 · 253980 · 338640 · 507960 (half) · 1015920
Aliquot sum (sum of proper divisors): 2,640,096
Factor pairs (a × b = 1,015,920)
1 × 1015920
2 × 507960
3 × 338640
4 × 253980
5 × 203184
6 × 169320
8 × 126990
9 × 112880
10 × 101592
12 × 84660
15 × 67728
16 × 63495
17 × 59760
18 × 56440
20 × 50796
24 × 42330
30 × 33864
34 × 29880
36 × 28220
40 × 25398
45 × 22576
48 × 21165
51 × 19920
60 × 16932
68 × 14940
72 × 14110
80 × 12699
83 × 12240
85 × 11952
90 × 11288
102 × 9960
120 × 8466
136 × 7470
144 × 7055
153 × 6640
166 × 6120
170 × 5976
180 × 5644
204 × 4980
240 × 4233
249 × 4080
255 × 3984
272 × 3735
306 × 3320
332 × 3060
340 × 2988
360 × 2822
408 × 2490
415 × 2448
498 × 2040
510 × 1992
612 × 1660
664 × 1530
680 × 1494
720 × 1411
747 × 1360
765 × 1328
816 × 1245
830 × 1224
996 × 1020
First multiples
1,015,920 · 2,031,840 (double) · 3,047,760 · 4,063,680 · 5,079,600 · 6,095,520 · 7,111,440 · 8,127,360 · 9,143,280 · 10,159,200

Sums & aliquot sequence

As consecutive integers: 338,639 + 338,640 + 338,641 203,182 + 203,183 + 203,184 + 203,185 + 203,186 112,876 + 112,877 + … + 112,884 67,721 + 67,722 + … + 67,735
Aliquot sequence: 1,015,920 2,640,096 5,025,744 9,873,972 15,085,326 15,085,338 15,124,422 15,168,570 21,236,070 29,730,570 41,782,710 63,775,050 98,675,862 98,675,874 141,792,606 175,928,226 175,928,238 — unresolved within range

Continued fraction of √n

√1,015,920 = [1007; (1, 12, 1, 2014)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words
one million fifteen thousand nine hundred twenty
Ordinal
1015920th
Binary
11111000000001110000
Octal
3700160
Hexadecimal
0xF8070
Base64
D4Bw
One's complement
4,293,951,375 (32-bit)
Scientific notation
1.01592 × 10⁶
As a duration
1,015,920 s = 11 days, 18 hours, 12 minutes
In other bases
ternary (3) 1220121120200
quaternary (4) 3320001300
quinary (5) 230002140
senary (6) 33435200
septenary (7) 11430603
nonary (9) 1817520
undecimal (11) 634304
duodecimal (12) 40bb00
tridecimal (13) 297549
tetradecimal (14) 1c633a
pentadecimal (15) 151030

As an angle

1,015,920° = 2,822 × 360°
0° ≈ 0 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒁹𒁹 ·
Egyptian hieroglyphic
𓁨𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Chinese
一百零一萬五千九百二十
Chinese (financial)
壹佰零壹萬伍仟玖佰貳拾
In other modern scripts
Eastern Arabic ١٠١٥٩٢٠ Devanagari १०१५९२० Bengali ১০১৫৯২০ Tamil ௧௦௧௫௯௨௦ Thai ๑๐๑๕๙๒๐ Tibetan ༡༠༡༥༩༢༠ Khmer ១០១៥៩២០ Lao ໑໐໑໕໙໒໐ Burmese ၁၀၁၅၉၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1015920, here are decompositions:

  • 7 + 1015913 = 1015920
  • 13 + 1015907 = 1015920
  • 23 + 1015897 = 1015920
  • 29 + 1015891 = 1015920
  • 43 + 1015877 = 1015920
  • 67 + 1015853 = 1015920
  • 97 + 1015823 = 1015920
  • 107 + 1015813 = 1015920

Showing the first eight; more decompositions exist.

Hex color
#0F8070
RGB(15, 128, 112)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.128.112.

Address
0.15.128.112
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.128.112

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

Possible date

Could be parsed as a date. Most likely interpretation: Thursday, January 1, 5920 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)
  • 5920-10-01 (MMDYYYY (US, single-digit day))
  • 5920-01-10 (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 1,015,920 and was likely granted around 1911.

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°.