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1,028,640

1,028,640 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.).

1,028,640 (one million twenty-eight thousand six hundred forty) is an even 7-digit number. It is a composite number with 48 divisors, and factors as 2⁵ × 3 × 5 × 2,143. Its proper divisors sum to 2,213,088, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFB220.

Abundant Number Arithmetic Number Gapful Number Odious Number Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
21
Digit product
0
Digital root
3
Palindrome
No
Bit width
20 bits
Reversed
468,201
Square (n²)
1,058,100,249,600
Cube (n³)
1,088,404,240,748,544,000
Divisor count
48
σ(n) — sum of divisors
3,241,728
φ(n) — Euler's totient
274,176
Sum of prime factors
2,161

Primality

Prime factorization: 2 5 × 3 × 5 × 2143

Nearest primes: 1,028,617 (−23) · 1,028,647 (+7)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 16 · 20 · 24 · 30 · 32 · 40 · 48 · 60 · 80 · 96 · 120 · 160 · 240 · 480 · 2143 · 4286 · 6429 · 8572 · 10715 · 12858 · 17144 · 21430 · 25716 · 32145 · 34288 · 42860 · 51432 · 64290 · 68576 · 85720 · 102864 · 128580 · 171440 · 205728 · 257160 · 342880 · 514320 (half) · 1028640
Aliquot sum (sum of proper divisors): 2,213,088
Factor pairs (a × b = 1,028,640)
1 × 1028640
2 × 514320
3 × 342880
4 × 257160
5 × 205728
6 × 171440
8 × 128580
10 × 102864
12 × 85720
15 × 68576
16 × 64290
20 × 51432
24 × 42860
30 × 34288
32 × 32145
40 × 25716
48 × 21430
60 × 17144
80 × 12858
96 × 10715
120 × 8572
160 × 6429
240 × 4286
480 × 2143
First multiples
1,028,640 · 2,057,280 (double) · 3,085,920 · 4,114,560 · 5,143,200 · 6,171,840 · 7,200,480 · 8,229,120 · 9,257,760 · 10,286,400

Sums & aliquot sequence

As consecutive integers: 342,879 + 342,880 + 342,881 205,726 + 205,727 + 205,728 + 205,729 + 205,730 68,569 + 68,570 + … + 68,583 16,041 + 16,042 + … + 16,104
Aliquot sequence: 1,028,640 2,213,088 3,596,520 8,378,520 16,757,400 39,935,400 85,279,800 182,225,400 479,041,800 1,005,989,640 2,186,974,200 4,592,647,680 10,431,997,824 — keeps growing

Continued fraction of √n

√1,028,640 = [1014; (4, 1, 1, 3, 5, 1, 3, 2, 2, 1, 1, 1, 5, 1, 8, 4, 1, 5, 1, 1, 16, 1, 1, 40, …)]

Representations

In words
one million twenty-eight thousand six hundred forty
Ordinal
1028640th
Binary
11111011001000100000
Octal
3731040
Hexadecimal
0xFB220
Base64
D7Ig
One's complement
4,293,938,655 (32-bit)
Scientific notation
1.02864 × 10⁶
As a duration
1,028,640 s = 11 days, 21 hours, 44 minutes
In other bases
ternary (3) 1221021000210
quaternary (4) 3323020200
quinary (5) 230404030
senary (6) 34014120
septenary (7) 11512644
nonary (9) 1837023
undecimal (11) 642918
duodecimal (12) 417340
tridecimal (13) 2a0282
tetradecimal (14) 1cac24
pentadecimal (15) 154bb0

As an angle

1,028,640° = 2,857 × 360° + 120°
120° ≈ 2.094 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓁨𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Chinese
一百零二萬八千六百四十
Chinese (financial)
壹佰零貳萬捌仟陸佰肆拾
In other modern scripts
Eastern Arabic ١٠٢٨٦٤٠ Devanagari १०२८६४० Bengali ১০২৮৬৪০ Tamil ௧௦௨௮௬௪௦ Thai ๑๐๒๘๖๔๐ Tibetan ༡༠༢༨༦༤༠ Khmer ១០២៨៦៤០ Lao ໑໐໒໘໖໔໐ Burmese ၁၀၂၈၆၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1028640, here are decompositions:

  • 23 + 1028617 = 1028640
  • 43 + 1028597 = 1028640
  • 59 + 1028581 = 1028640
  • 61 + 1028579 = 1028640
  • 71 + 1028569 = 1028640
  • 79 + 1028561 = 1028640
  • 83 + 1028557 = 1028640
  • 131 + 1028509 = 1028640

Showing the first eight; more decompositions exist.

Hex color
#0FB220
RGB(15, 178, 32)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.178.32.

Address
0.15.178.32
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.178.32

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

Possible date

Could be parsed as a date. Most likely interpretation: Thursday, January 2, 8640 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 8640-02-01 (DMMYYYY (Euro, single-digit day))
  • 8640-10-02 (MMDYYYY (US, single-digit day))
  • 8640-02-10 (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 1,028,640 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 1028640 first appears in π at position 937,225 of the decimal expansion (the 937,225ordinal-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°.