137,940
137,940 is a composite number, even.
137,940 (one hundred thirty-seven thousand nine hundred forty) is an even 6-digit number. It is a composite number with 72 divisors, and factors as 2² × 3 × 5 × 11² × 19. Its proper divisors sum to 308,940, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21AD4.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 24
- Digit product
- 0
- Digital root
- 6
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 49,731
- Recamán's sequence
- a(492,947) = 137,940
- Square (n²)
- 19,027,443,600
- Cube (n³)
- 2,624,645,570,184,000
- Divisor count
- 72
- σ(n) — sum of divisors
- 446,880
- φ(n) — Euler's totient
- 31,680
- Sum of prime factors
- 53
Primality
Prime factorization: 2 2 × 3 × 5 × 11 2 × 19
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√137,940 = [371; (2, 2, 14, 6, 14, 2, 2, 742)]
Period length 8 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-seven thousand nine hundred forty
- Ordinal
- 137940th
- Binary
- 100001101011010100
- Octal
- 415324
- Hexadecimal
- 0x21AD4
- Base64
- AhrU
- One's complement
- 4,294,829,355 (32-bit)
- Scientific notation
- 1.3794 × 10⁵
- As a duration
- 137,940 s = 1 day, 14 hours, 19 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ρλζϡμʹ
- Mayan (base 20)
- 𝋱·𝋤·𝋱·𝋠
- Chinese
- 一十三萬七千九百四十
- Chinese (financial)
- 壹拾參萬柒仟玖佰肆拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137940, here are decompositions:
- 7 + 137933 = 137940
- 13 + 137927 = 137940
- 29 + 137911 = 137940
- 31 + 137909 = 137940
- 67 + 137873 = 137940
- 71 + 137869 = 137940
- 73 + 137867 = 137940
- 109 + 137831 = 137940
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A1 AB 94 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.26.212.
- Address
- 0.2.26.212
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.26.212
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 137,940 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 137940 first appears in π at position 140,920 of the decimal expansion (the 140,920ordinal-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°.