Search a number
-
+
137103432 = 2338964187
BaseRepresentation
bin10000010110000…
…00100001001000
3100112222120112220
420023000201020
5240044302212
621334334040
73253234314
oct1013004110
9315876486
10137103432
1170433924
1239aba320
1322534abb
14142ccb44
15c08338c
hex82c0848

137103432 has 32 divisors (see below), whose sum is σ = 346615200. Its totient is φ = 45186944.

The previous prime is 137103431. The next prime is 137103443. The reversal of 137103432 is 234301731.

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 (137103431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29958 + ... + 34229.

It is an arithmetic number, because the mean of its divisors is an integer number (10831725).

Almost surely, 2137103432 is an apocalyptic number.

137103432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

137103432 is an abundant number, since it is smaller than the sum of its proper divisors (209511768).

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

137103432 is a wasteful number, since it uses less digits than its factorization.

137103432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64285 (or 64281 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 24.

The square root of 137103432 is about 11709.1174731489. The cubic root of 137103432 is about 515.6433747575.

The spelling of 137103432 in words is "one hundred thirty-seven million, one hundred three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 89 178 267 356 534 712 1068 2136 64187 128374 192561 256748 385122 513496 770244 1540488 5712643 11425286 17137929 22850572 34275858 45701144 68551716 137103432