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138305472 = 2631742373
BaseRepresentation
bin10000011111001…
…01111111000000
3100122020122102220
420033211333000
5240401233342
621420211040
73266401644
oct1017457700
9318218386
10138305472
1171084a48
123a399a80
1322865c76
1414522c24
15c21e5ec
hex83e5fc0

138305472 has 56 divisors (see below), whose sum is σ = 387467856. Its totient is φ = 43388928.

The previous prime is 138305471. The next prime is 138305491. The reversal of 138305472 is 274503831.

138305472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138305471) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17923 + ... + 24450.

Almost surely, 2138305472 is an apocalyptic number.

138305472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

138305472 is an abundant number, since it is smaller than the sum of its proper divisors (249162384).

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

138305472 is a wasteful number, since it uses less digits than its factorization.

138305472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42405 (or 42395 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 138305472 is about 11760.3346891149. The cubic root of 138305472 is about 517.1459418608.

The spelling of 138305472 in words is "one hundred thirty-eight million, three hundred five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 136 192 204 272 408 544 816 1088 1632 3264 42373 84746 127119 169492 254238 338984 508476 677968 720341 1016952 1355936 1440682 2033904 2161023 2711872 2881364 4067808 4322046 5762728 8135616 8644092 11525456 17288184 23050912 34576368 46101824 69152736 138305472