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137050884 = 223215792411
BaseRepresentation
bin10000010101100…
…11101100000100
3100112212220110200
420022303230010
5240041112014
621333250500
73252625155
oct1012635404
9315786420
10137050884
11703a83a3
1239a93a30
1322516bc9
14142b792c
15c072a09
hex82b3b04

137050884 has 36 divisors (see below), whose sum is σ = 346797360. Its totient is φ = 45635760.

The previous prime is 137050883. The next prime is 137050909. The reversal of 137050884 is 488050731.

137050884 is a `hidden beast` number, since 1 + 3 + 70 + 508 + 84 = 666.

137050884 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

137050884 is strictly pandigital in base 9.

It is not an unprimeable number, because it can be changed into a prime (137050883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55639 + ... + 58049.

It is an arithmetic number, because the mean of its divisors is an integer number (9633260).

Almost surely, 2137050884 is an apocalyptic number.

It is an amenable number.

137050884 is an abundant number, since it is smaller than the sum of its proper divisors (209746476).

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

137050884 is a wasteful number, since it uses less digits than its factorization.

137050884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4000 (or 3995 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 137050884 is about 11706.8733656771. The cubic root of 137050884 is about 515.5774889998.

The spelling of 137050884 in words is "one hundred thirty-seven million, fifty thousand, eight hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 36 1579 2411 3158 4737 4822 6316 7233 9474 9644 14211 14466 18948 21699 28422 28932 43398 56844 86796 3806969 7613938 11420907 15227876 22841814 34262721 45683628 68525442 137050884