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150113656 = 237211311123
BaseRepresentation
bin10001111001010…
…00110101111000
3101110110120020001
420330220311320
5301412114111
622521242344
73501642100
oct1074506570
9343416201
10150113656
117780a680
12423333b4
132513b864
1415d18200
15d2a31c1
hex8f28d78

150113656 has 96 divisors (see below), whose sum is σ = 369031680. Its totient is φ = 56548800.

The previous prime is 150113653. The next prime is 150113683. The reversal of 150113656 is 656311051.

150113656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150113653) 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, 133111 + ... + 134233.

It is an arithmetic number, because the mean of its divisors is an integer number (3844080).

Almost surely, 2150113656 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 150113656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184515840).

150113656 is an abundant number, since it is smaller than the sum of its proper divisors (218918024).

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

150113656 is a wasteful number, since it uses less digits than its factorization.

150113656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1185 (or 1174 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 28.

The square root of 150113656 is about 12252.0878220816. The cubic root of 150113656 is about 531.4634479586.

The spelling of 150113656 in words is "one hundred fifty million, one hundred thirteen thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 11 14 22 28 31 44 49 56 62 77 88 98 124 154 196 217 248 308 341 392 434 539 616 682 868 1078 1123 1364 1519 1736 2156 2246 2387 2728 3038 4312 4492 4774 6076 7861 8984 9548 12152 12353 15722 16709 19096 24706 31444 33418 34813 49412 55027 62888 66836 69626 86471 98824 110054 133672 139252 172942 220108 243691 278504 345884 382943 440216 487382 605297 691768 765886 974764 1210594 1531772 1705837 1949528 2421188 2680601 3063544 3411674 4842376 5361202 6823348 10722404 13646696 18764207 21444808 37528414 75056828 150113656