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150986268 = 2234641727
BaseRepresentation
bin10001111111111…
…01111000011100
3101112002220020000
420333331320130
5302123030033
622552054300
73512235126
oct1077757034
9345086200
10150986268
1178256244
1242694390
1325385ab4
14160a4216
15d3c6a13
hex8ffde1c

150986268 has 60 divisors (see below), whose sum is σ = 395867472. Its totient is φ = 50181120.

The previous prime is 150986263. The next prime is 150986279. The reversal of 150986268 is 862689051.

150986268 is a `hidden beast` number, since 1 + 509 + 86 + 2 + 68 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150986263) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 207321 + ... + 208047.

Almost surely, 2150986268 is an apocalyptic number.

150986268 is a gapful number since it is divisible by the number (18) 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 150986268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197933736).

150986268 is an abundant number, since it is smaller than the sum of its proper divisors (244881204).

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

150986268 is a wasteful number, since it uses less digits than its factorization.

150986268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1384 (or 1373 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 150986268 is about 12287.6469675850. The cubic root of 150986268 is about 532.4912595272.

The spelling of 150986268 in words is "one hundred fifty million, nine hundred eighty-six thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 641 727 1282 1454 1923 2181 2564 2908 3846 4362 5769 6543 7692 8724 11538 13086 17307 19629 23076 26172 34614 39258 51921 58887 69228 78516 103842 117774 207684 235548 466007 932014 1398021 1864028 2796042 4194063 5592084 8388126 12582189 16776252 25164378 37746567 50328756 75493134 150986268