Search a number
-
+
138625056 = 25323115527
BaseRepresentation
bin10000100001101…
…00000000100000
3100122211212211100
420100310000200
5240442000211
621431114400
73302202453
oct1020640040
9318755740
10138625056
1171283069
123a512a00
132294857b
14145a749a
15c284156
hex8434020

138625056 has 72 divisors (see below), whose sum is σ = 406957824. Its totient is φ = 44714880.

The previous prime is 138625049. The next prime is 138625061. The reversal of 138625056 is 650526831.

It is a tau number, because it is divible by the number of its divisors (72).

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 138625056.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1165 + ... + 16691.

It is an arithmetic number, because the mean of its divisors is an integer number (5652192).

Almost surely, 2138625056 is an apocalyptic number.

138625056 is a gapful number since it is divisible by the number (16) 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 138625056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203478912).

138625056 is an abundant number, since it is smaller than the sum of its proper divisors (268332768).

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

138625056 is a wasteful number, since it uses less digits than its factorization.

138625056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15574 (or 15563 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 138625056 is about 11773.9142174555. The cubic root of 138625056 is about 517.5439604187.

The spelling of 138625056 in words is "one hundred thirty-eight million, six hundred twenty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 72 93 96 124 144 186 248 279 288 372 496 558 744 992 1116 1488 2232 2976 4464 8928 15527 31054 46581 62108 93162 124216 139743 186324 248432 279486 372648 481337 496864 558972 745296 962674 1117944 1444011 1490592 1925348 2235888 2888022 3850696 4332033 4471776 5776044 7701392 8664066 11552088 15402784 17328132 23104176 34656264 46208352 69312528 138625056