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1,042,720

1,042,720 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.).

1,042,720 (one million forty-two thousand seven hundred twenty) is an even 7-digit number. It is a composite number with 96 divisors, and factors as 2⁵ × 5 × 7³ × 19. Its proper divisors sum to 1,981,280, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFE920.

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

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
16
Digit product
0
Digital root
7
Palindrome
No
Bit width
20 bits
Reversed
272,401
Square (n²)
1,087,264,998,400
Cube (n³)
1,133,712,959,131,648,000
Divisor count
96
σ(n) — sum of divisors
3,024,000
φ(n) — Euler's totient
338,688
Sum of prime factors
55

Primality

Prime factorization: 2 5 × 5 × 7 3 × 19

Nearest primes: 1,042,709 (−11) · 1,042,733 (+13)

Divisors & multiples

All divisors (96)
1 · 2 · 4 · 5 · 7 · 8 · 10 · 14 · 16 · 19 · 20 · 28 · 32 · 35 · 38 · 40 · 49 · 56 · 70 · 76 · 80 · 95 · 98 · 112 · 133 · 140 · 152 · 160 · 190 · 196 · 224 · 245 · 266 · 280 · 304 · 343 · 380 · 392 · 490 · 532 · 560 · 608 · 665 · 686 · 760 · 784 · 931 · 980 · 1064 · 1120 · 1330 · 1372 · 1520 · 1568 · 1715 · 1862 · 1960 · 2128 · 2660 · 2744 · 3040 · 3430 · 3724 · 3920 · 4256 · 4655 · 5320 · 5488 · 6517 · 6860 · 7448 · 7840 · 9310 · 10640 · 10976 · 13034 · 13720 · 14896 · 18620 · 21280 · 26068 · 27440 · 29792 · 32585 · 37240 · 52136 · 54880 · 65170 · 74480 · 104272 · 130340 · 148960 · 208544 · 260680 · 521360 (half) · 1042720
Aliquot sum (sum of proper divisors): 1,981,280
Factor pairs (a × b = 1,042,720)
1 × 1042720
2 × 521360
4 × 260680
5 × 208544
7 × 148960
8 × 130340
10 × 104272
14 × 74480
16 × 65170
19 × 54880
20 × 52136
28 × 37240
32 × 32585
35 × 29792
38 × 27440
40 × 26068
49 × 21280
56 × 18620
70 × 14896
76 × 13720
80 × 13034
95 × 10976
98 × 10640
112 × 9310
133 × 7840
140 × 7448
152 × 6860
160 × 6517
190 × 5488
196 × 5320
224 × 4655
245 × 4256
266 × 3920
280 × 3724
304 × 3430
343 × 3040
380 × 2744
392 × 2660
490 × 2128
532 × 1960
560 × 1862
608 × 1715
665 × 1568
686 × 1520
760 × 1372
784 × 1330
931 × 1120
980 × 1064
First multiples
1,042,720 · 2,085,440 (double) · 3,128,160 · 4,170,880 · 5,213,600 · 6,256,320 · 7,299,040 · 8,341,760 · 9,384,480 · 10,427,200

Sums & aliquot sequence

As consecutive integers: 208,542 + 208,543 + 208,544 + 208,545 + 208,546 148,957 + 148,958 + … + 148,963 54,871 + 54,872 + … + 54,889 29,775 + 29,776 + … + 29,809
Aliquot sequence: 1,042,720 1,981,280 3,643,360 6,196,736 10,130,344 12,722,456 11,248,384 14,416,080 36,663,984 80,605,792 81,084,464 85,861,696 98,069,864 91,743,256 96,654,824 121,365,976 106,348,064 — unresolved within range

Continued fraction of √n

√1,042,720 = [1021; (7, 3, 7, 1, 2, 4, 3, 1, 1, 9, 1, 5, 1, 3, 1, 3, 2, 5, 1, 6, 4, 1, 1, 41, …)]

Representations

In words
one million forty-two thousand seven hundred twenty
Ordinal
1042720th
Binary
11111110100100100000
Octal
3764440
Hexadecimal
0xFE920
Base64
D+kg
One's complement
4,293,924,575 (32-bit)
Scientific notation
1.04272 × 10⁶
As a duration
1,042,720 s = 12 days, 1 hour, 38 minutes, 40 seconds
In other bases
ternary (3) 1221222100021
quaternary (4) 3332210200
quinary (5) 231331340
senary (6) 34203224
septenary (7) 11602000
nonary (9) 1858307
undecimal (11) 652458
duodecimal (12) 423514
tridecimal (13) 2a67c3
tetradecimal (14) 1d2000
pentadecimal (15) 158e4a

As an angle

1,042,720° = 2,896 × 360° + 160°
160° ≈ 2.793 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Chinese
一百零四萬二千七百二十
Chinese (financial)
壹佰零肆萬貳仟柒佰貳拾
In other modern scripts
Eastern Arabic ١٠٤٢٧٢٠ Devanagari १०४२७२० Bengali ১০৪২৭২০ Tamil ௧௦௪௨௭௨௦ Thai ๑๐๔๒๗๒๐ Tibetan ༡༠༤༢༧༢༠ Khmer ១០៤២៧២០ Lao ໑໐໔໒໗໒໐ Burmese ၁၀၄၂၇၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1042720, here are decompositions:

  • 11 + 1042709 = 1042720
  • 17 + 1042703 = 1042720
  • 89 + 1042631 = 1042720
  • 101 + 1042619 = 1042720
  • 113 + 1042607 = 1042720
  • 137 + 1042583 = 1042720
  • 149 + 1042571 = 1042720
  • 191 + 1042529 = 1042720

Showing the first eight; more decompositions exist.

Hex color
#0FE920
RGB(15, 233, 32)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.233.32.

Address
0.15.233.32
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.233.32

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

Possible date

Could be parsed as a date. Most likely interpretation: Sunday, January 4, 2720 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 2720-04-01 (DMMYYYY (Euro, single-digit day))
  • 2720-10-04 (MMDYYYY (US, single-digit day))
  • 2720-04-10 (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 1,042,720 and was likely granted around 1912.

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

Position in π

The digit sequence 1042720 first appears in π at position 349,560 of the decimal expansion (the 349,560ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Related reading

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