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38,640

38,640 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.).
Abundant Number Evil Number Gapful Number Harshad / Niven Practical Number Recamán's Sequence Weird Number

Properties

Parity
Even
Digit count
5
Digit sum
21
Digit product
0
Digital root
3
Palindrome
No
Bit width
16 bits
Reversed
4,683
Recamán's sequence
a(306,176) = 38,640
Square (n²)
1,493,049,600
Cube (n³)
57,691,436,544,000
Divisor count
80
σ(n) — sum of divisors
142,848
φ(n) — Euler's totient
8,448
Sum of prime factors
46

Primality

Prime factorization: 2 4 × 3 × 5 × 7 × 23

Nearest primes: 38,639 (−1) · 38,651 (+11)

Divisors & multiples

All divisors (80)
1 · 2 · 3 · 4 · 5 · 6 · 7 · 8 · 10 · 12 · 14 · 15 · 16 · 20 · 21 · 23 · 24 · 28 · 30 · 35 · 40 · 42 · 46 · 48 · 56 · 60 · 69 · 70 · 80 · 84 · 92 · 105 · 112 · 115 · 120 · 138 · 140 · 161 · 168 · 184 · 210 · 230 · 240 · 276 · 280 · 322 · 336 · 345 · 368 · 420 · 460 · 483 · 552 · 560 · 644 · 690 · 805 · 840 · 920 · 966 · 1104 · 1288 · 1380 · 1610 · 1680 · 1840 · 1932 · 2415 · 2576 · 2760 · 3220 · 3864 · 4830 · 5520 · 6440 · 7728 · 9660 · 12880 · 19320 (half) · 38640
Aliquot sum (sum of proper divisors): 104,208
Factor pairs (a × b = 38,640)
1 × 38640
2 × 19320
3 × 12880
4 × 9660
5 × 7728
6 × 6440
7 × 5520
8 × 4830
10 × 3864
12 × 3220
14 × 2760
15 × 2576
16 × 2415
20 × 1932
21 × 1840
23 × 1680
24 × 1610
28 × 1380
30 × 1288
35 × 1104
40 × 966
42 × 920
46 × 840
48 × 805
56 × 690
60 × 644
69 × 560
70 × 552
80 × 483
84 × 460
92 × 420
105 × 368
112 × 345
115 × 336
120 × 322
138 × 280
140 × 276
161 × 240
168 × 230
184 × 210
First multiples
38,640 · 77,280 (double) · 115,920 · 154,560 · 193,200 · 231,840 · 270,480 · 309,120 · 347,760 · 386,400

Sums & aliquot sequence

As consecutive integers: 12,879 + 12,880 + 12,881 7,726 + 7,727 + 7,728 + 7,729 + 7,730 5,517 + 5,518 + … + 5,523 2,569 + 2,570 + … + 2,583
Aliquot sequence: 38,640 104,208 187,440 455,376 749,904 1,303,536 2,324,704 2,252,120 3,372,520 4,215,740 4,729,252 4,776,188 3,582,148 2,722,892 2,158,684 2,026,532 1,709,788 — unresolved within range

Representations

In words
thirty-eight thousand six hundred forty
Ordinal
38640th
Binary
1001011011110000
Octal
113360
Hexadecimal
0x96F0
Base64
lvA=
One's complement
26,895 (16-bit)
In other bases
ternary (3) 1222000010
quaternary (4) 21123300
quinary (5) 2214030
senary (6) 454520
septenary (7) 220440
nonary (9) 58003
undecimal (11) 27038
duodecimal (12) 1a440
tridecimal (13) 14784
tetradecimal (14) 10120
pentadecimal (15) b6b0

Historical numeral systems

Babylonian (base 60)
𒌋 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ληχμʹ
Mayan (base 20)
𝋤·𝋰·𝋬·𝋠
Chinese
三萬八千六百四十
Chinese (financial)
參萬捌仟陸佰肆拾
In other modern scripts
Eastern Arabic ٣٨٦٤٠ Devanagari ३८६४० Bengali ৩৮৬৪০ Tamil ௩௮௬௪௦ Thai ๓๘๖๔๐ Tibetan ༣༨༦༤༠ Khmer ៣៨៦៤០ Lao ໓໘໖໔໐ Burmese ၃၈၆၄၀

Digit at this position in famous constants

π — Pi (π)
Digit 38,640 = 7
e — Euler's number (e)
Digit 38,640 = 3
φ — Golden ratio (φ)
Digit 38,640 = 7
√2 — Pythagoras's (√2)
Digit 38,640 = 0
ln 2 — Natural log of 2
Digit 38,640 = 6
γ — Euler-Mascheroni (γ)
Digit 38,640 = 5

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 38640, here are decompositions:

  • 11 + 38629 = 38640
  • 29 + 38611 = 38640
  • 31 + 38609 = 38640
  • 37 + 38603 = 38640
  • 47 + 38593 = 38640
  • 71 + 38569 = 38640
  • 73 + 38567 = 38640
  • 79 + 38561 = 38640

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-96F0
U+96F0
Other letter (Lo)

UTF-8 encoding: E9 9B B0 (3 bytes).

Hex color
#0096F0
RGB(0, 150, 240)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.150.240.

Address
0.0.150.240
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.150.240

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

Position in π

The digit sequence 38640 first appears in π at position 39,528 of the decimal expansion (the 39,528ordinal-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.