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137091432 = 2338368821
BaseRepresentation
bin10000010101111…
…01100101101000
3100112221222002110
420022331211220
5240043411212
621334202320
73253154322
oct1012754550
9315858073
10137091432
1170425905
1239ab33a0
132252c4ba
14142c8612
15c07ea3c
hex82bd968

137091432 has 32 divisors (see below), whose sum is σ = 346862880. Its totient is φ = 45145920.

The previous prime is 137091421. The next prime is 137091457. The reversal of 137091432 is 234190731.

It is a self number, because there is not a number n which added to its sum of digits gives 137091432.

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 7 ways as a sum of consecutive naturals, for example, 32419 + ... + 36402.

It is an arithmetic number, because the mean of its divisors is an integer number (10839465).

Almost surely, 2137091432 is an apocalyptic number.

137091432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

137091432 is an abundant number, since it is smaller than the sum of its proper divisors (209771448).

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

137091432 is a wasteful number, since it uses less digits than its factorization.

137091432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68913 (or 68909 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 137091432 is about 11708.6050407382. The cubic root of 137091432 is about 515.6283303954.

The spelling of 137091432 in words is "one hundred thirty-seven million, ninety-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 83 166 249 332 498 664 996 1992 68821 137642 206463 275284 412926 550568 825852 1651704 5712143 11424286 17136429 22848572 34272858 45697144 68545716 137091432