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138660312 = 23373722307
BaseRepresentation
bin10000100001111…
…00100111011000
3100122220200012010
420100330213120
5240444112222
621431545520
73302410320
oct1020744730
9318820163
10138660312
11712a75aa
123a52b2a0
132295b62b
14145b6280
15c28e80c
hex843c9d8

138660312 has 64 divisors (see below), whose sum is σ = 406897920. Its totient is φ = 38544768.

The previous prime is 138660311. The next prime is 138660331. The reversal of 138660312 is 213066831.

It is a self number, because there is not a number n which added to its sum of digits gives 138660312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138660311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4938 + ... + 17369.

It is an arithmetic number, because the mean of its divisors is an integer number (6357780).

Almost surely, 2138660312 is an apocalyptic number.

138660312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

138660312 is an abundant number, since it is smaller than the sum of its proper divisors (268237608).

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

138660312 is a wasteful number, since it uses less digits than its factorization.

138660312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22360 (or 22356 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 138660312 is about 11775.4113303952. The cubic root of 138660312 is about 517.5878317163.

The spelling of 138660312 in words is "one hundred thirty-eight million, six hundred sixty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 37 42 56 74 84 111 148 168 222 259 296 444 518 777 888 1036 1554 2072 3108 6216 22307 44614 66921 89228 133842 156149 178456 267684 312298 468447 535368 624596 825359 936894 1249192 1650718 1873788 2476077 3301436 3747576 4952154 5777513 6602872 9904308 11555026 17332539 19808616 23110052 34665078 46220104 69330156 138660312