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138032712 = 23321917121
BaseRepresentation
bin10000011101000…
…11011001001000
3100121201210021200
420032203121020
5240314021322
621410304200
73264154506
oct1016433110
9317653250
10138032712
1170a09024
123a288060
132279ba7c
1414491676
15c1b88ac
hex83a3648

138032712 has 24 divisors (see below), whose sum is σ = 373838790. Its totient is φ = 46010880.

The previous prime is 138032693. The next prime is 138032731. The reversal of 138032712 is 217230831.

It is an interprime number because it is at equal distance from previous prime (138032693) and next prime (138032731).

It can be written as a sum of positive squares in only one way, i.e., 127103076 + 10929636 = 11274^2 + 3306^2 .

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 (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 958489 + ... + 958632.

Almost surely, 2138032712 is an apocalyptic number.

138032712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

138032712 is an abundant number, since it is smaller than the sum of its proper divisors (235806078).

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

138032712 is a wasteful number, since it uses less digits than its factorization.

138032712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1917133 (or 1917126 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 138032712 is about 11748.7323571524. The cubic root of 138032712 is about 516.8057539289.

The spelling of 138032712 in words is "one hundred thirty-eight million, thirty-two thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1917121 3834242 5751363 7668484 11502726 15336968 17254089 23005452 34508178 46010904 69016356 138032712