Search a number
-
+
137230512 = 24323124303
BaseRepresentation
bin10000010110111…
…11100010110000
3100120020000212120
420023133202300
5240112334022
621341154240
73254303646
oct1013374260
9316200776
10137230512
1170510351
1239b5b980
132257a8b3
1414323196
15c0aad5c
hex82df8b0

137230512 has 40 divisors (see below), whose sum is σ = 369928704. Its totient is φ = 43754304.

The previous prime is 137230469. The next prime is 137230517. The reversal of 137230512 is 215032731.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (137230517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61048 + ... + 63255.

Almost surely, 2137230512 is an apocalyptic number.

137230512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

137230512 is an abundant number, since it is smaller than the sum of its proper divisors (232698192).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

137230512 is a wasteful number, since it uses less digits than its factorization.

137230512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124337 (or 124331 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 137230512 is about 11714.5427567618. The cubic root of 137230512 is about 515.8026407067.

The spelling of 137230512 in words is "one hundred thirty-seven million, two hundred thirty thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 368 552 1104 124303 248606 372909 497212 745818 994424 1491636 1988848 2858969 2983272 5717938 5966544 8576907 11435876 17153814 22871752 34307628 45743504 68615256 137230512