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150504156 = 2234113349
BaseRepresentation
bin10001111100010…
…00001011011100
3101111012101220000
420332020023130
5302012113111
622533454300
73505156425
oct1076101334
9344171800
10150504156
1177a57000
12424a1390
132524751a
1415dba64c
15d32dc56
hex8f882dc

150504156 has 120 divisors (see below), whose sum is σ = 434002800. Its totient is φ = 45476640.

The previous prime is 150504127. The next prime is 150504209. The reversal of 150504156 is 651405051.

It is a happy number.

150504156 is a `hidden beast` number, since 1 + 5 + 0 + 504 + 156 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 431070 + ... + 431418.

It is an arithmetic number, because the mean of its divisors is an integer number (3616690).

Almost surely, 2150504156 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 150504156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217001400).

150504156 is an abundant number, since it is smaller than the sum of its proper divisors (283498644).

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

150504156 is a wasteful number, since it uses less digits than its factorization.

150504156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 150504156 is about 12268.0135311305. The cubic root of 150504156 is about 531.9238919146.

The spelling of 150504156 in words is "one hundred fifty million, five hundred four thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 121 132 162 198 242 297 324 349 363 396 484 594 698 726 891 1047 1089 1188 1331 1396 1452 1782 2094 2178 2662 3141 3267 3564 3839 3993 4188 4356 5324 6282 6534 7678 7986 9423 9801 11517 11979 12564 13068 15356 15972 18846 19602 23034 23958 28269 34551 35937 37692 39204 42229 46068 47916 56538 69102 71874 84458 103653 107811 113076 126687 138204 143748 168916 207306 215622 253374 310959 380061 414612 431244 464519 506748 621918 760122 929038 1140183 1243836 1393557 1520244 1858076 2280366 2787114 3420549 4180671 4560732 5574228 6841098 8361342 12542013 13682196 16722684 25084026 37626039 50168052 75252078 150504156