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138700944 = 24333110357
BaseRepresentation
bin10000100010001…
…10100010010000
3100122222201221000
420101012202100
5241001412234
621432502000
73302636634
oct1021064220
9318881830
10138700944
1171325088
123a54a900
1322973c85
14145c6dc4
15c29b899
hex8446890

138700944 has 80 divisors (see below), whose sum is σ = 411005440. Its totient is φ = 44737920.

The previous prime is 138700937. The next prime is 138700951. The reversal of 138700944 is 449007831.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (138700937) and next prime (138700951).

It is a super-2 number, since 2×1387009442 = 38475903732982272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 138700899 and 138700908.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8214 + ... + 18570.

It is an arithmetic number, because the mean of its divisors is an integer number (5137568).

Almost surely, 2138700944 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 138700944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205502720).

138700944 is an abundant number, since it is smaller than the sum of its proper divisors (272304496).

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

138700944 is a wasteful number, since it uses less digits than its factorization.

138700944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10405 (or 10393 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 138700944 is about 11777.1364940719. The cubic root of 138700944 is about 517.6383834918.

The spelling of 138700944 in words is "one hundred thirty-eight million, seven hundred thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 48 54 62 72 93 108 124 144 186 216 248 279 372 432 496 558 744 837 1116 1488 1674 2232 3348 4464 6696 10357 13392 20714 31071 41428 62142 82856 93213 124284 165712 186426 248568 279639 321067 372852 497136 559278 642134 745704 963201 1118556 1284268 1491408 1926402 2237112 2568536 2889603 3852804 4474224 5137072 5779206 7705608 8668809 11558412 15411216 17337618 23116824 34675236 46233648 69350472 138700944