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137470968 = 23321909319
BaseRepresentation
bin10000011000110…
…10001111111000
3100120200020201100
420030122033320
5240143032333
621350251400
73256324665
oct1014321770
9316606640
10137470968
1170664a78
123a056b60
132263318b
1414386a6c
15c107213
hex831a3f8

137470968 has 24 divisors (see below), whose sum is σ = 372317400. Its totient is φ = 45823632.

The previous prime is 137470951. The next prime is 137470987. The reversal of 137470968 is 869074731.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 954588 + ... + 954731.

It is an arithmetic number, because the mean of its divisors is an integer number (15513225).

Almost surely, 2137470968 is an apocalyptic number.

137470968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

137470968 is an abundant number, since it is smaller than the sum of its proper divisors (234846432).

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

137470968 is a wasteful number, since it uses less digits than its factorization.

137470968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1909331 (or 1909324 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 137470968 is about 11724.8014055676. The cubic root of 137470968 is about 516.1037289211.

The spelling of 137470968 in words is "one hundred thirty-seven million, four hundred seventy thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1909319 3818638 5727957 7637276 11455914 15274552 17183871 22911828 34367742 45823656 68735484 137470968