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150436368 = 24321044697
BaseRepresentation
bin10001111011101…
…11101000010000
3101111001221220100
420331313220100
5302002430433
622532212400
73504454665
oct1075675020
9344057810
10150436368
1177a10085
124246a100
1325222704
1415d9da6c
15d318b13
hex8f77a10

150436368 has 30 divisors (see below), whose sum is σ = 421013294. Its totient is φ = 50145408.

The previous prime is 150436361. The next prime is 150436379. The reversal of 150436368 is 863634051.

150436368 is a `hidden beast` number, since 15 + 0 + 4 + 3 + 636 + 8 = 666.

150436368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 79067664 + 71368704 = 8892^2 + 8448^2 .

It is a super-2 number, since 2×1504363682 = 45262201634062848, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (150436361) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 522205 + ... + 522492.

Almost surely, 2150436368 is an apocalyptic number.

150436368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

150436368 is an abundant number, since it is smaller than the sum of its proper divisors (270576926).

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

150436368 is a wasteful number, since it uses less digits than its factorization.

150436368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1044711 (or 1044702 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 150436368 is about 12265.2504254907. The cubic root of 150436368 is about 531.8440193213.

The spelling of 150436368 in words is "one hundred fifty million, four hundred thirty-six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1044697 2089394 3134091 4178788 6268182 8357576 9402273 12536364 16715152 18804546 25072728 37609092 50145456 75218184 150436368