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150085971 = 32722314797
BaseRepresentation
bin10001111001000…
…10000101010011
3101110102011020200
420330202011103
5301410222341
622520510243
73501465300
oct1074420523
9343364220
10150085971
11777a08a2
124231b383
132512c089
1415d0c0a7
15d299db6
hex8f22153

150085971 has 36 divisors (see below), whose sum is σ = 263167632. Its totient is φ = 82029024.

The previous prime is 150085967. The next prime is 150085981. The reversal of 150085971 is 179580051.

150085971 is a `hidden beast` number, since 1 + 500 + 85 + 9 + 71 = 666.

It is not a de Polignac number, because 150085971 - 22 = 150085967 is a prime.

It is not an unprimeable number, because it can be changed into a prime (150085931) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2745 + ... + 17541.

It is an arithmetic number, because the mean of its divisors is an integer number (7310212).

Almost surely, 2150085971 is an apocalyptic number.

150085971 is a deficient number, since it is larger than the sum of its proper divisors (113081661).

150085971 is a wasteful number, since it uses less digits than its factorization.

150085971 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14840 (or 14830 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 36.

The square root of 150085971 is about 12250.9579625432. The cubic root of 150085971 is about 531.4307738933.

The spelling of 150085971 in words is "one hundred fifty million, eighty-five thousand, nine hundred seventy-one".

Divisors: 1 3 7 9 21 23 49 63 69 147 161 207 441 483 1127 1449 3381 10143 14797 44391 103579 133173 310737 340331 725053 932211 1020993 2175159 2382317 3062979 6525477 7146951 16676219 21440853 50028657 150085971