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138641292 = 22323851147
BaseRepresentation
bin10000100001101…
…11111110001100
3100122212201002200
420100313332030
5240443010132
621431321500
73302301006
oct1020677614
9318781080
10138641292
1171294289
123a520290
1322952a8a
14145ad376
15c288d7c
hex8437f8c

138641292 has 18 divisors (see below), whose sum is σ = 350454468. Its totient is φ = 46213752.

The previous prime is 138641267. The next prime is 138641303. The reversal of 138641292 is 292146831.

138641292 is a `hidden beast` number, since 1 + 3 + 8 + 641 + 2 + 9 + 2 = 666.

138641292 is digitally balanced in base 2, because in such base 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 (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 3851147 = 138641292 / (1 + 3 + 8 + 6 + 4 + 1 + 2 + 9 + 2).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1925538 + ... + 1925609.

Almost surely, 2138641292 is an apocalyptic number.

138641292 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

138641292 is an abundant number, since it is smaller than the sum of its proper divisors (211813176).

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

138641292 is a wasteful number, since it uses less digits than its factorization.

138641292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3851157 (or 3851152 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 138641292 is about 11774.6036875982. The cubic root of 138641292 is about 517.5641648367.

The spelling of 138641292 in words is "one hundred thirty-eight million, six hundred forty-one thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 36 3851147 7702294 11553441 15404588 23106882 34660323 46213764 69320646 138641292