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125,400

125,400 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.).

125,400 (one hundred twenty-five thousand four hundred) is an even 6-digit number. It is a composite number with 96 divisors, and factors as 2³ × 3 × 5² × 11 × 19. Its proper divisors sum to 321,000, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1E9D8.

Abundant Number Arithmetic Number Evil Number Gapful Number Harshad / Niven Practical Number Recamán's Sequence 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
4,521
Recamán's sequence
a(235,364) = 125,400
Square (n²)
15,725,160,000
Cube (n³)
1,971,935,064,000,000
Divisor count
96
σ(n) — sum of divisors
446,400
φ(n) — Euler's totient
28,800
Sum of prime factors
49

Primality

Prime factorization: 2 3 × 3 × 5 2 × 11 × 19

Nearest primes: 125,399 (−1) · 125,407 (+7)

Divisors & multiples

All divisors (96)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 11 · 12 · 15 · 19 · 20 · 22 · 24 · 25 · 30 · 33 · 38 · 40 · 44 · 50 · 55 · 57 · 60 · 66 · 75 · 76 · 88 · 95 · 100 · 110 · 114 · 120 · 132 · 150 · 152 · 165 · 190 · 200 · 209 · 220 · 228 · 264 · 275 · 285 · 300 · 330 · 380 · 418 · 440 · 456 · 475 · 550 · 570 · 600 · 627 · 660 · 760 · 825 · 836 · 950 · 1045 · 1100 · 1140 · 1254 · 1320 · 1425 · 1650 · 1672 · 1900 · 2090 · 2200 · 2280 · 2508 · 2850 · 3135 · 3300 · 3800 · 4180 · 5016 · 5225 · 5700 · 6270 · 6600 · 8360 · 10450 · 11400 · 12540 · 15675 · 20900 · 25080 · 31350 · 41800 · 62700 (half) · 125400
Aliquot sum (sum of proper divisors): 321,000
Factor pairs (a × b = 125,400)
1 × 125400
2 × 62700
3 × 41800
4 × 31350
5 × 25080
6 × 20900
8 × 15675
10 × 12540
11 × 11400
12 × 10450
15 × 8360
19 × 6600
20 × 6270
22 × 5700
24 × 5225
25 × 5016
30 × 4180
33 × 3800
38 × 3300
40 × 3135
44 × 2850
50 × 2508
55 × 2280
57 × 2200
60 × 2090
66 × 1900
75 × 1672
76 × 1650
88 × 1425
95 × 1320
100 × 1254
110 × 1140
114 × 1100
120 × 1045
132 × 950
150 × 836
152 × 825
165 × 760
190 × 660
200 × 627
209 × 600
220 × 570
228 × 550
264 × 475
275 × 456
285 × 440
300 × 418
330 × 380
First multiples
125,400 · 250,800 (double) · 376,200 · 501,600 · 627,000 · 752,400 · 877,800 · 1,003,200 · 1,128,600 · 1,254,000

Sums & aliquot sequence

As consecutive integers: 41,799 + 41,800 + 41,801 25,078 + 25,079 + 25,080 + 25,081 + 25,082 11,395 + 11,396 + … + 11,405 8,353 + 8,354 + … + 8,367
Aliquot sequence: 125,400 321,000 689,880 1,380,120 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

√125,400 = [354; (8, 2, 3, 14, 6, 28, 6, 14, 3, 2, 8, 708)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty-five thousand four hundred
Ordinal
125400th
Binary
11110100111011000
Octal
364730
Hexadecimal
0x1E9D8
Base64
AenY
One's complement
4,294,841,895 (32-bit)
Scientific notation
1.254 × 10⁵
As a duration
125,400 s = 1 day, 10 hours, 50 minutes
In other bases
ternary (3) 20101000110
quaternary (4) 132213120
quinary (5) 13003100
senary (6) 2404320
septenary (7) 1031412
nonary (9) 211013
undecimal (11) 86240
duodecimal (12) 606a0
tridecimal (13) 45102
tetradecimal (14) 339b2
pentadecimal (15) 27250

As an angle

125,400° = 348 × 360° + 120°
120° ≈ 2.094 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋 ·
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢
Greek (Milesian)
͵ρκευʹ
Mayan (base 20)
𝋯·𝋭·𝋪·𝋠
Chinese
一十二萬五千四百
Chinese (financial)
壹拾貳萬伍仟肆佰
In other modern scripts
Eastern Arabic ١٢٥٤٠٠ Devanagari १२५४०० Bengali ১২৫৪০০ Tamil ௧௨௫௪௦௦ Thai ๑๒๕๔๐๐ Tibetan ༡༢༥༤༠༠ Khmer ១២៥៤០០ Lao ໑໒໕໔໐໐ Burmese ၁၂၅၄၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 125400, here are decompositions:

  • 13 + 125387 = 125400
  • 17 + 125383 = 125400
  • 29 + 125371 = 125400
  • 47 + 125353 = 125400
  • 61 + 125339 = 125400
  • 71 + 125329 = 125400
  • 89 + 125311 = 125400
  • 97 + 125303 = 125400

Showing the first eight; more decompositions exist.

Hex color
#01E9D8
RGB(1, 233, 216)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.233.216.

Address
0.1.233.216
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.233.216

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 125,400 and was likely granted around 1871.

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

Position in π

The digit sequence 125400 first appears in π at position 229,673 of the decimal expansion (the 229,673ordinal-suffix:rd 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°.