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138289728 = 2636531103
BaseRepresentation
bin10000011111000…
…10001001000000
3100122012211211210
420033202021000
5240400232403
621420010120
73266305023
oct1017421100
9318184753
10138289728
1171074135
123a390940
132285ba55
141451b1ba
15c219b03
hex83e2240

138289728 has 56 divisors (see below), whose sum is σ = 366784128. Its totient is φ = 45984256.

The previous prime is 138289727. The next prime is 138289783. The reversal of 138289728 is 827982831.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (138289727) 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, 124825 + ... + 125927.

Almost surely, 2138289728 is an apocalyptic number.

It is an amenable number.

138289728 is an abundant number, since it is smaller than the sum of its proper divisors (228494400).

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

138289728 is a wasteful number, since it uses less digits than its factorization.

138289728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1771 (or 1761 counting only the distinct ones).

The product of its digits is 387072, while the sum is 48.

The square root of 138289728 is about 11759.6653013596. The cubic root of 138289728 is about 517.1263180176.

The spelling of 138289728 in words is "one hundred thirty-eight million, two hundred eighty-nine thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 653 1103 1306 1959 2206 2612 3309 3918 4412 5224 6618 7836 8824 10448 13236 15672 17648 20896 26472 31344 35296 41792 52944 62688 70592 105888 125376 211776 720259 1440518 2160777 2881036 4321554 5762072 8643108 11524144 17286216 23048288 34572432 46096576 69144864 138289728