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138641256 = 233213178713
BaseRepresentation
bin10000100001101…
…11111101101000
3100122212201001100
420100313331220
5240443010011
621431321400
73302300625
oct1020677550
9318781040
10138641256
1171294256
123a520260
1322952a60
14145ad34c
15c288d56
hex8437f68

138641256 has 96 divisors (see below), whose sum is σ = 428205960. Its totient is φ = 40144896.

The previous prime is 138641231. The next prime is 138641267. The reversal of 138641256 is 652146831.

It is a happy number.

138641256 is a `hidden beast` number, since 1 + 3 + 8 + 641 + 2 + 5 + 6 = 666.

138641256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 136188900 + 2452356 = 11670^2 + 1566^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 138641256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11556 + ... + 20268.

Almost surely, 2138641256 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 138641256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214102980).

138641256 is an abundant number, since it is smaller than the sum of its proper divisors (289564704).

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

138641256 is a wasteful number, since it uses less digits than its factorization.

138641256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8755 (or 8748 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 138641256 is about 11774.6021588842. The cubic root of 138641256 is about 517.5641200393.

The spelling of 138641256 in words is "one hundred thirty-eight million, six hundred forty-one thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 17 18 24 26 34 36 39 51 52 68 72 78 102 104 117 136 153 156 204 221 234 306 312 408 442 468 612 663 884 936 1224 1326 1768 1989 2652 3978 5304 7956 8713 15912 17426 26139 34852 52278 69704 78417 104556 113269 148121 156834 209112 226538 296242 313668 339807 444363 453076 592484 627336 679614 888726 906152 1019421 1184968 1333089 1359228 1777452 1925573 2038842 2666178 2718456 3554904 3851146 4077684 5332356 5776719 7702292 8155368 10664712 11553438 15404584 17330157 23106876 34660314 46213752 69320628 138641256