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1,057,740

1,057,740 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.).

1,057,740 (one million fifty-seven thousand seven hundred forty) is an even 7-digit number. It is a composite number with 72 divisors, and factors as 2² × 3 × 5 × 17² × 61. Its proper divisors sum to 2,139,972, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1023CC.

Abundant Number Cube-Free Evil Number Gapful Number Practical Number Self Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
24
Digit product
0
Digital root
6
Palindrome
No
Bit width
21 bits
Reversed
477,501
Square (n²)
1,118,813,907,600
Cube (n³)
1,183,414,222,624,824,000
Divisor count
72
σ(n) — sum of divisors
3,197,712
φ(n) — Euler's totient
261,120
Sum of prime factors
107

Primality

Prime factorization: 2 2 × 3 × 5 × 17 2 × 61

Nearest primes: 1,057,739 (−1) · 1,057,741 (+1)

Divisors & multiples

All divisors (72)
1 · 2 · 3 · 4 · 5 · 6 · 10 · 12 · 15 · 17 · 20 · 30 · 34 · 51 · 60 · 61 · 68 · 85 · 102 · 122 · 170 · 183 · 204 · 244 · 255 · 289 · 305 · 340 · 366 · 510 · 578 · 610 · 732 · 867 · 915 · 1020 · 1037 · 1156 · 1220 · 1445 · 1734 · 1830 · 2074 · 2890 · 3111 · 3468 · 3660 · 4148 · 4335 · 5185 · 5780 · 6222 · 8670 · 10370 · 12444 · 15555 · 17340 · 17629 · 20740 · 31110 · 35258 · 52887 · 62220 · 70516 · 88145 · 105774 · 176290 · 211548 · 264435 · 352580 · 528870 (half) · 1057740
Aliquot sum (sum of proper divisors): 2,139,972
Factor pairs (a × b = 1,057,740)
1 × 1057740
2 × 528870
3 × 352580
4 × 264435
5 × 211548
6 × 176290
10 × 105774
12 × 88145
15 × 70516
17 × 62220
20 × 52887
30 × 35258
34 × 31110
51 × 20740
60 × 17629
61 × 17340
68 × 15555
85 × 12444
102 × 10370
122 × 8670
170 × 6222
183 × 5780
204 × 5185
244 × 4335
255 × 4148
289 × 3660
305 × 3468
340 × 3111
366 × 2890
510 × 2074
578 × 1830
610 × 1734
732 × 1445
867 × 1220
915 × 1156
1020 × 1037
First multiples
1,057,740 · 2,115,480 (double) · 3,173,220 · 4,230,960 · 5,288,700 · 6,346,440 · 7,404,180 · 8,461,920 · 9,519,660 · 10,577,400

Sums & aliquot sequence

As consecutive integers: 352,579 + 352,580 + 352,581 211,546 + 211,547 + 211,548 + 211,549 + 211,550 132,214 + 132,215 + … + 132,221 70,509 + 70,510 + … + 70,523
Aliquot sequence: 1,057,740 → 2,139,972 → 2,890,620 → 6,362,820 → 13,434,300 → 35,312,580 → 71,802,792 → 127,926,348 → 197,704,692 → 314,863,308 → 512,652,052 → 486,658,988 → 364,994,248 → 341,446,712 → 298,765,888 → 353,909,972 → 313,694,644 — unresolved within range

Continued fraction of √n

√1,057,740 = [1028; (2, 6, 1, 1, 1, 1, 1, 1, 2, 6, 1, 2, 1, 3, 2, 6, 1, 2, 11, 7, 34, 7, 11, 2, …)]

Period length 42 — the block in parentheses repeats forever.

Representations

In words
one million fifty-seven thousand seven hundred forty
Ordinal
1057740th
Binary
100000010001111001100
Octal
4021714
Hexadecimal
0x1023CC
Base64
ECPM
One's complement
4,293,909,555 (32-bit)
Scientific notation
1.05774 × 10⁶
As a duration
1,057,740 s = 12 days, 5 hours, 49 minutes
In other bases
ternary (3) 1222201221120
quaternary (4) 10002033030
quinary (5) 232321430
senary (6) 34400540
septenary (7) 11663535
nonary (9) 1881846
undecimal (11) 662772
duodecimal (12) 430150
tridecimal (13) 2b05a8
tetradecimal (14) 1d768c
pentadecimal (15) 15d610

As an angle

1,057,740° = 2,938 × 360° + 60°
60° ≈ 1.047 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Chinese
一百零五萬七千七百四十
Chinese (financial)
壹佰零伍萬柒仟柒佰肆拾
In other modern scripts
Eastern Arabic ١٠٥٧٧٤٠ Devanagari १०५७७४० Bengali ১০৫৭৭৪০ Tamil ௧௦௫௭௭௪௦ Thai ๑๐๕๗๗๔๐ Tibetan ༡༠༥༧༧༤༠ Khmer ១០៥៧៧៤០ Lao ໑໐໕໗໗໔໐ Burmese ၁၀၅၇၇၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1057740, here are decompositions:

  • 37 + 1057703 = 1057740
  • 41 + 1057699 = 1057740
  • 59 + 1057681 = 1057740
  • 83 + 1057657 = 1057740
  • 97 + 1057643 = 1057740
  • 107 + 1057633 = 1057740
  • 109 + 1057631 = 1057740
  • 127 + 1057613 = 1057740

Showing the first eight; more decompositions exist.

Hex color
#1023CC
RGB(16, 35, 204)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.35.204.

Address
0.16.35.204
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.35.204

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

Possible date

Could be parsed as a date. Most likely interpretation: Tuesday, January 5, 7740 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 7740-05-01 (DMMYYYY (Euro, single-digit day))
  • 7740-10-05 (MMDYYYY (US, single-digit day))
  • 7740-05-10 (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 1,057,740 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°.