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138310704 = 24327433191
BaseRepresentation
bin10000011111001…
…11010000110000
3100122020220121200
420033213100300
5240401420304
621420251200
73266423130
oct1017472060
9318226550
10138310704
1171088974
123a3a0b00
132286846c
1414524ac0
15c220e39
hex83e7430

138310704 has 120 divisors (see below), whose sum is σ = 452804352. Its totient is φ = 38586240.

The previous prime is 138310703. The next prime is 138310721. The reversal of 138310704 is 407013831.

It is not an unprimeable number, because it can be changed into a prime (138310703) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41749 + ... + 44939.

Almost surely, 2138310704 is an apocalyptic number.

138310704 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138310704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226402176).

138310704 is an abundant number, since it is smaller than the sum of its proper divisors (314493648).

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

138310704 is a wasteful number, since it uses less digits than its factorization.

138310704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3255 (or 3246 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 138310704 is about 11760.5571296601. The cubic root of 138310704 is about 517.1524628692.

The spelling of 138310704 in words is "one hundred thirty-eight million, three hundred ten thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 43 48 56 63 72 84 86 112 126 129 144 168 172 252 258 301 336 344 387 504 516 602 688 774 903 1008 1032 1204 1548 1806 2064 2408 2709 3096 3191 3612 4816 5418 6192 6382 7224 9573 10836 12764 14448 19146 21672 22337 25528 28719 38292 43344 44674 51056 57438 67011 76584 89348 114876 134022 137213 153168 178696 201033 229752 268044 274426 357392 402066 411639 459504 536088 548852 804132 823278 960491 1072176 1097704 1234917 1608264 1646556 1920982 2195408 2469834 2881473 3216528 3293112 3841964 4939668 5762946 6586224 7683928 8644419 9879336 11525892 15367856 17288838 19758672 23051784 34577676 46103568 69155352 138310704