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138606831 = 32112177487
BaseRepresentation
bin10000100001011…
…11100011101111
3100122210221211100
420100233203233
5240440404311
621430454143
73302065356
oct1020574357
9318727740
10138606831
1171270400
123a504353
132294019c
14145a099d
15c27da56
hex842f8ef

138606831 has 36 divisors (see below), whose sum is σ = 233041536. Its totient is φ = 79052160.

The previous prime is 138606821. The next prime is 138606869.

138606831 is a `hidden beast` number, since 13 + 8 + 606 + 8 + 31 = 666.

138606831 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 138606831 - 213 = 138598639 is a prime.

It is a super-2 number, since 2×1386068312 = 38423707199725122, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138606821) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14770 + ... + 22256.

It is an arithmetic number, because the mean of its divisors is an integer number (6473376).

Almost surely, 2138606831 is an apocalyptic number.

138606831 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

138606831 is a deficient number, since it is larger than the sum of its proper divisors (94434705).

138606831 is a wasteful number, since it uses less digits than its factorization.

138606831 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7532 (or 7518 counting only the distinct ones).

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

The square root of 138606831 is about 11773.1402352983. The cubic root of 138606831 is about 517.5212789682.

The spelling of 138606831 in words is "one hundred thirty-eight million, six hundred six thousand, eight hundred thirty-one".

Divisors: 1 3 9 11 17 33 51 99 121 153 187 363 561 1089 1683 2057 6171 7487 18513 22461 67383 82357 127279 247071 381837 741213 905927 1145511 1400069 2717781 4200207 8153343 12600621 15400759 46202277 138606831