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150655232 = 2871329223
BaseRepresentation
bin10001111101011…
…01000100000000
3101111111002010102
420332231010000
5302031431412
622541021532
73506356040
oct1076550400
9344432112
10150655232
117804a562
12425548a8
132529b210
1416019720
15d35d8c2
hex8fad100

150655232 has 144 divisors (see below), whose sum is σ = 384599040. Its totient is φ = 57286656.

The previous prime is 150655229. The next prime is 150655243. The reversal of 150655232 is 232556051.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a junction number, because it is equal to n+sod(n) for n = 150655195 and 150655204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 675473 + ... + 675695.

Almost surely, 2150655232 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 150655232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192299520).

150655232 is an abundant number, since it is smaller than the sum of its proper divisors (233943808).

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

150655232 is a wasteful number, since it uses less digits than its factorization.

150655232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 29.

The square root of 150655232 is about 12274.1692997938. The cubic root of 150655232 is about 532.1018140448.

The spelling of 150655232 in words is "one hundred fifty million, six hundred fifty-five thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 29 32 52 56 58 64 91 104 112 116 128 182 203 208 223 224 232 256 364 377 406 416 446 448 464 728 754 812 832 892 896 928 1456 1508 1561 1624 1664 1784 1792 1856 2639 2899 2912 3016 3122 3248 3328 3568 3712 5278 5798 5824 6032 6244 6467 6496 7136 7424 10556 11596 11648 12064 12488 12934 12992 14272 20293 21112 23192 23296 24128 24976 25868 25984 28544 40586 42224 45269 46384 48256 49952 51736 51968 57088 81172 84071 84448 90538 92768 96512 99904 103472 162344 168142 168896 181076 185536 199808 206944 324688 336284 337792 362152 371072 399616 413888 588497 649376 672568 675584 724304 742144 827776 1176994 1298752 1345136 1448608 1655552 2353988 2597504 2690272 2897216 4707976 5195008 5380544 5794432 9415952 10761088 11588864 18831904 21522176 37663808 75327616 150655232