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138606432 = 2531443817
BaseRepresentation
bin10000100001011…
…11011101100000
3100122210221021120
420100233131200
5240440401212
621430452240
73302064246
oct1020573540
9318727246
10138606432
1171270078
123a504080
132293cc53
14145a0796
15c27d88c
hex842f760

138606432 has 24 divisors (see below), whose sum is σ = 363842136. Its totient is φ = 46202112.

The previous prime is 138606421. The next prime is 138606437. The reversal of 138606432 is 234606831.

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

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 138606393 and 138606402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138606437) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 721813 + ... + 722004.

It is an arithmetic number, because the mean of its divisors is an integer number (15160089).

Almost surely, 2138606432 is an apocalyptic number.

138606432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

138606432 is an abundant number, since it is smaller than the sum of its proper divisors (225235704).

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

138606432 is a wasteful number, since it uses less digits than its factorization.

138606432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1443830 (or 1443822 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 138606432 is about 11773.1232899346. The cubic root of 138606432 is about 517.5207823809.

The spelling of 138606432 in words is "one hundred thirty-eight million, six hundred six thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1443817 2887634 4331451 5775268 8662902 11550536 17325804 23101072 34651608 46202144 69303216 138606432