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104,160

104,160 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.).

104,160 (one hundred four thousand one hundred sixty) is an even 6-digit number. It is a composite number with 96 divisors, and factors as 2⁵ × 3 × 5 × 7 × 31. Its proper divisors sum to 282,912, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x196E0.

Abundant Number Arithmetic Number Evil Number Gapful Number Harshad / Niven Practical Number Recamán's Sequence Refactorable Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
12
Digit product
0
Digital root
3
Palindrome
No
Bit width
17 bits
Reversed
61,401
Recamán's sequence
a(93,783) = 104,160
Square (n²)
10,849,305,600
Cube (n³)
1,130,063,671,296,000
Divisor count
96
σ(n) — sum of divisors
387,072
φ(n) — Euler's totient
23,040
Sum of prime factors
56

Primality

Prime factorization: 2 5 × 3 × 5 × 7 × 31

Nearest primes: 104,149 (−11) · 104,161 (+1)

Divisors & multiples

All divisors (96)
1 · 2 · 3 · 4 · 5 · 6 · 7 · 8 · 10 · 12 · 14 · 15 · 16 · 20 · 21 · 24 · 28 · 30 · 31 · 32 · 35 · 40 · 42 · 48 · 56 · 60 · 62 · 70 · 80 · 84 · 93 · 96 · 105 · 112 · 120 · 124 · 140 · 155 · 160 · 168 · 186 · 210 · 217 · 224 · 240 · 248 · 280 · 310 · 336 · 372 · 420 · 434 · 465 · 480 · 496 · 560 · 620 · 651 · 672 · 744 · 840 · 868 · 930 · 992 · 1085 · 1120 · 1240 · 1302 · 1488 · 1680 · 1736 · 1860 · 2170 · 2480 · 2604 · 2976 · 3255 · 3360 · 3472 · 3720 · 4340 · 4960 · 5208 · 6510 · 6944 · 7440 · 8680 · 10416 · 13020 · 14880 · 17360 · 20832 · 26040 · 34720 · 52080 (half) · 104160
Aliquot sum (sum of proper divisors): 282,912
Factor pairs (a × b = 104,160)
1 × 104160
2 × 52080
3 × 34720
4 × 26040
5 × 20832
6 × 17360
7 × 14880
8 × 13020
10 × 10416
12 × 8680
14 × 7440
15 × 6944
16 × 6510
20 × 5208
21 × 4960
24 × 4340
28 × 3720
30 × 3472
31 × 3360
32 × 3255
35 × 2976
40 × 2604
42 × 2480
48 × 2170
56 × 1860
60 × 1736
62 × 1680
70 × 1488
80 × 1302
84 × 1240
93 × 1120
96 × 1085
105 × 992
112 × 930
120 × 868
124 × 840
140 × 744
155 × 672
160 × 651
168 × 620
186 × 560
210 × 496
217 × 480
224 × 465
240 × 434
248 × 420
280 × 372
310 × 336
First multiples
104,160 · 208,320 (double) · 312,480 · 416,640 · 520,800 · 624,960 · 729,120 · 833,280 · 937,440 · 1,041,600

Sums & aliquot sequence

As consecutive integers: 34,719 + 34,720 + 34,721 20,830 + 20,831 + 20,832 + 20,833 + 20,834 14,877 + 14,878 + … + 14,883 6,937 + 6,938 + … + 6,951
Aliquot sequence: 104,160 282,912 567,840 1,645,728 3,515,232 7,032,480 21,925,344 47,021,856 95,227,104 190,456,224 403,050,144 877,263,072 1,815,814,560 5,042,617,440 14,074,717,440 — keeps growing

Continued fraction of √n

√104,160 = [322; (1, 2, 1, 4, 1, 1, 2, 2, 5, 161, 5, 2, 2, 1, 1, 4, 1, 2, 1, 644)]

Period length 20 — the block in parentheses repeats forever.

Representations

In words
one hundred four thousand one hundred sixty
Ordinal
104160th
Binary
11001011011100000
Octal
313340
Hexadecimal
0x196E0
Base64
AZbg
One's complement
4,294,863,135 (32-bit)
Scientific notation
1.0416 × 10⁵
As a duration
104,160 s = 1 day, 4 hours, 56 minutes
In other bases
ternary (3) 12021212210
quaternary (4) 121123200
quinary (5) 11313120
senary (6) 2122120
septenary (7) 612450
nonary (9) 167783
undecimal (11) 71291
duodecimal (12) 50340
tridecimal (13) 38544
tetradecimal (14) 29d60
pentadecimal (15) 20ce0

As an angle

104,160° = 289 × 360° + 120°
120° ≈ 2.094 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρδρξʹ
Mayan (base 20)
𝋭·𝋠·𝋨·𝋠
Chinese
一十萬四千一百六十
Chinese (financial)
壹拾萬肆仟壹佰陸拾
In other modern scripts
Eastern Arabic ١٠٤١٦٠ Devanagari १०४१६० Bengali ১০৪১৬০ Tamil ௧௦௪௧௬௦ Thai ๑๐๔๑๖๐ Tibetan ༡༠༤༡༦༠ Khmer ១០៤១៦០ Lao ໑໐໔໑໖໐ Burmese ၁၀၄၁၆၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 104160, here are decompositions:

  • 11 + 104149 = 104160
  • 13 + 104147 = 104160
  • 37 + 104123 = 104160
  • 41 + 104119 = 104160
  • 47 + 104113 = 104160
  • 53 + 104107 = 104160
  • 71 + 104089 = 104160
  • 73 + 104087 = 104160

Showing the first eight; more decompositions exist.

Hex color
#0196E0
RGB(1, 150, 224)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.150.224.

Address
0.1.150.224
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.150.224

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

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 104,160 and was likely granted around 1870.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 104160 first appears in π at position 819,420 of the decimal expansion (the 819,420ordinal-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°.