137,400
137,400 is a composite number, even.
137,400 (one hundred thirty-seven thousand four hundred) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2³ × 3 × 5² × 229. Its proper divisors sum to 290,400, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x218B8.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 15
- Digit product
- 0
- Digital root
- 6
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 4,731
- Recamán's sequence
- a(37,604) = 137,400
- Square (n²)
- 18,878,760,000
- Cube (n³)
- 2,593,941,624,000,000
- Divisor count
- 48
- σ(n) — sum of divisors
- 427,800
- φ(n) — Euler's totient
- 36,480
- Sum of prime factors
- 248
Primality
Prime factorization: 2 3 × 3 × 5 2 × 229
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√137,400 = [370; (1, 2, 12, 1, 9, 1, 1, 14, 1, 1, 1, 1, 6, 1, 1, 9, 4, 1, 1, 3, 1, 4, 1, 28, …)]
Period length 48 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-seven thousand four hundred
- Ordinal
- 137400th
- Binary
- 100001100010111000
- Octal
- 414270
- Hexadecimal
- 0x218B8
- Base64
- Ahi4
- One's complement
- 4,294,829,895 (32-bit)
- Scientific notation
- 1.374 × 10⁵
- As a duration
- 137,400 s = 1 day, 14 hours, 10 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋 ·
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢
- Greek (Milesian)
- ͵ρλζυʹ
- Mayan (base 20)
- 𝋱·𝋣·𝋪·𝋠
- Chinese
- 一十三萬七千四百
- Chinese (financial)
- 壹拾參萬柒仟肆佰
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137400, here are decompositions:
- 7 + 137393 = 137400
- 13 + 137387 = 137400
- 17 + 137383 = 137400
- 31 + 137369 = 137400
- 37 + 137363 = 137400
- 41 + 137359 = 137400
- 47 + 137353 = 137400
- 59 + 137341 = 137400
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A1 A2 B8 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.24.184.
- Address
- 0.2.24.184
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.24.184
Unspecified address (0.0.0.0/8) — "this network" placeholder.
This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 137,400 and was likely granted around 1872.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
The digit sequence 137400 first appears in π at position 374,476 of the decimal expansion (the 374,476ordinal-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°.