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61,440

61,440 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 Semiperfect Number

Properties

Parity
Even
Digit count
5
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
16 bits
Reversed
4,416
Recamán's sequence
a(28,304) = 61,440
Square (n²)
3,774,873,600
Cube (n³)
231,928,233,984,000
Divisor count
52
σ(n) — sum of divisors
196,584
φ(n) — Euler's totient
16,384
Sum of prime factors
32

Primality

Prime factorization: 2 12 × 3 × 5

Nearest primes: 61,417 (−23) · 61,441 (+1)

Divisors & multiples

All divisors (52)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 16 · 20 · 24 · 30 · 32 · 40 · 48 · 60 · 64 · 80 · 96 · 120 · 128 · 160 · 192 · 240 · 256 · 320 · 384 · 480 · 512 · 640 · 768 · 960 · 1024 · 1280 · 1536 · 1920 · 2048 · 2560 · 3072 · 3840 · 4096 · 5120 · 6144 · 7680 · 10240 · 12288 · 15360 · 20480 · 30720 (half) · 61440
Aliquot sum (sum of proper divisors): 135,144
Factor pairs (a × b = 61,440)
1 × 61440
2 × 30720
3 × 20480
4 × 15360
5 × 12288
6 × 10240
8 × 7680
10 × 6144
12 × 5120
15 × 4096
16 × 3840
20 × 3072
24 × 2560
30 × 2048
32 × 1920
40 × 1536
48 × 1280
60 × 1024
64 × 960
80 × 768
96 × 640
120 × 512
128 × 480
160 × 384
192 × 320
240 × 256
First multiples
61,440 · 122,880 (double) · 184,320 · 245,760 · 307,200 · 368,640 · 430,080 · 491,520 · 552,960 · 614,400

Sums & aliquot sequence

As consecutive integers: 20,479 + 20,480 + 20,481 12,286 + 12,287 + 12,288 + 12,289 + 12,290 4,089 + 4,090 + … + 4,103
Aliquot sequence: 61,440 135,144 231,066 330,534 404,106 421,878 421,890 787,710 1,663,746 2,207,694 2,207,706 2,335,494 3,318,522 3,428,070 4,799,370 6,719,190 9,580,170 — unresolved within range

Representations

In words
sixty-one thousand four hundred forty
Ordinal
61440th
Binary
1111000000000000
Octal
170000
Hexadecimal
0xF000
Base64
8AA=
One's complement
4,095 (16-bit)
In other bases
ternary (3) 10010021120
quaternary (4) 33000000
quinary (5) 3431230
senary (6) 1152240
septenary (7) 344061
nonary (9) 103246
undecimal (11) 42185
duodecimal (12) 2b680
tridecimal (13) 21c72
tetradecimal (14) 18568
pentadecimal (15) 13310

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ξαυμʹ
Mayan (base 20)
𝋧·𝋭·𝋬·𝋠
Chinese
六萬一千四百四十
Chinese (financial)
陸萬壹仟肆佰肆拾
In other modern scripts
Eastern Arabic ٦١٤٤٠ Devanagari ६१४४० Bengali ৬১৪৪০ Tamil ௬௧௪௪௦ Thai ๖๑๔๔๐ Tibetan ༦༡༤༤༠ Khmer ៦១៤៤០ Lao ໖໑໔໔໐ Burmese ၆၁၄၄၀

Digit at this position in famous constants

π — Pi (π)
Digit 61,440 = 5
e — Euler's number (e)
Digit 61,440 = 3
φ — Golden ratio (φ)
Digit 61,440 = 2
√2 — Pythagoras's (√2)
Digit 61,440 = 8
ln 2 — Natural log of 2
Digit 61,440 = 5
γ — Euler-Mascheroni (γ)
Digit 61,440 = 8

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 61440, here are decompositions:

  • 23 + 61417 = 61440
  • 31 + 61409 = 61440
  • 37 + 61403 = 61440
  • 59 + 61381 = 61440
  • 61 + 61379 = 61440
  • 83 + 61357 = 61440
  • 97 + 61343 = 61440
  • 101 + 61339 = 61440

Showing the first eight; more decompositions exist.

Hex color
#00F000
RGB(0, 240, 0)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.240.0.

Address
0.0.240.0
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.240.0

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

Position in π

The digit sequence 61440 first appears in π at position 103,457 of the decimal expansion (the 103,457ordinal-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.