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61,680

61,680 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 Flippable Gapful Number Practical Number Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
5
Digit sum
21
Digit product
0
Digital root
3
Palindrome
No
Bit width
16 bits
Reversed
8,616
Flips to (rotate 180°)
8,919
Recamán's sequence
a(49,084) = 61,680
Square (n²)
3,804,422,400
Cube (n³)
234,656,773,632,000
Divisor count
40
σ(n) — sum of divisors
191,952
φ(n) — Euler's totient
16,384
Sum of prime factors
273

Primality

Prime factorization: 2 4 × 3 × 5 × 257

Nearest primes: 61,673 (−7) · 61,681 (+1)

Divisors & multiples

All divisors (40)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 16 · 20 · 24 · 30 · 40 · 48 · 60 · 80 · 120 · 240 · 257 · 514 · 771 · 1028 · 1285 · 1542 · 2056 · 2570 · 3084 · 3855 · 4112 · 5140 · 6168 · 7710 · 10280 · 12336 · 15420 · 20560 · 30840 (half) · 61680
Aliquot sum (sum of proper divisors): 130,272
Factor pairs (a × b = 61,680)
1 × 61680
2 × 30840
3 × 20560
4 × 15420
5 × 12336
6 × 10280
8 × 7710
10 × 6168
12 × 5140
15 × 4112
16 × 3855
20 × 3084
24 × 2570
30 × 2056
40 × 1542
48 × 1285
60 × 1028
80 × 771
120 × 514
240 × 257
First multiples
61,680 · 123,360 (double) · 185,040 · 246,720 · 308,400 · 370,080 · 431,760 · 493,440 · 555,120 · 616,800

Sums & aliquot sequence

As consecutive integers: 20,559 + 20,560 + 20,561 12,334 + 12,335 + 12,336 + 12,337 + 12,338 4,105 + 4,106 + … + 4,119 1,912 + 1,913 + … + 1,943
Aliquot sequence: 61,680 130,272 232,608 378,240 833,520 1,880,592 3,892,848 6,163,800 12,945,840 32,051,280 68,567,280 143,992,032 258,804,768 420,558,000 982,655,760 2,260,029,552 4,264,552,848 — unresolved within range

Representations

In words
sixty-one thousand six hundred eighty
Ordinal
61680th
Binary
1111000011110000
Octal
170360
Hexadecimal
0xF0F0
Base64
8PA=
One's complement
3,855 (16-bit)
In other bases
ternary (3) 10010121110
quaternary (4) 33003300
quinary (5) 3433210
senary (6) 1153320
septenary (7) 344553
nonary (9) 103543
undecimal (11) 42383
duodecimal (12) 2b840
tridecimal (13) 220c8
tetradecimal (14) 1869a
pentadecimal (15) 13420

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ξαχπʹ
Mayan (base 20)
𝋧·𝋮·𝋤·𝋠
Chinese
六萬一千六百八十
Chinese (financial)
陸萬壹仟陸佰捌拾
In other modern scripts
Eastern Arabic ٦١٦٨٠ Devanagari ६१६८० Bengali ৬১৬৮০ Tamil ௬௧௬௮௦ Thai ๖๑๖๘๐ Tibetan ༦༡༦༨༠ Khmer ៦១៦៨០ Lao ໖໑໖໘໐ Burmese ၆၁၆၈၀

Digit at this position in famous constants

π — Pi (π)
Digit 61,680 = 7
e — Euler's number (e)
Digit 61,680 = 8
φ — Golden ratio (φ)
Digit 61,680 = 9
√2 — Pythagoras's (√2)
Digit 61,680 = 9
ln 2 — Natural log of 2
Digit 61,680 = 3
γ — Euler-Mascheroni (γ)
Digit 61,680 = 5

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 61680, here are decompositions:

  • 7 + 61673 = 61680
  • 13 + 61667 = 61680
  • 23 + 61657 = 61680
  • 29 + 61651 = 61680
  • 37 + 61643 = 61680
  • 43 + 61637 = 61680
  • 53 + 61627 = 61680
  • 67 + 61613 = 61680

Showing the first eight; more decompositions exist.

Hex color
#00F0F0
RGB(0, 240, 240)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.240.240.

Address
0.0.240.240
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.240.240

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

Position in π

The digit sequence 61680 first appears in π at position 13,797 of the decimal expansion (the 13,797ordinal-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.