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138142472 = 231312710459
BaseRepresentation
bin10000011101111…
…10001100001000
3100121221100211212
420032332030020
5240331024342
621412512252
73265122506
oct1016761410
9317840755
10138142472
1170a83536
123a31b688
1322809a10
14144bd676
15c1db182
hex83be308

138142472 has 32 divisors (see below), whose sum is σ = 281164800. Its totient is φ = 63249984.

The previous prime is 138142471. The next prime is 138142517. The reversal of 138142472 is 274241831.

It is not an unprimeable number, because it can be changed into a prime (138142471) 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, 7979 + ... + 18437.

It is an arithmetic number, because the mean of its divisors is an integer number (8786400).

Almost surely, 2138142472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138142472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140582400).

138142472 is an abundant number, since it is smaller than the sum of its proper divisors (143022328).

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

138142472 is a wasteful number, since it uses less digits than its factorization.

138142472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10605 (or 10601 counting only the distinct ones).

The product of its digits is 10752, while the sum is 32.

The square root of 138142472 is about 11753.4025711706. The cubic root of 138142472 is about 516.9427011063.

The spelling of 138142472 in words is "one hundred thirty-eight million, one hundred forty-two thousand, four hundred seventy-two".

Divisors: 1 2 4 8 13 26 52 104 127 254 508 1016 1651 3302 6604 10459 13208 20918 41836 83672 135967 271934 543868 1087736 1328293 2656586 5313172 10626344 17267809 34535618 69071236 138142472