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149514660 = 22345176189
BaseRepresentation
bin10001110100101…
…10100110100100
3101102100010120000
420322112212210
5301233432120
622500341300
73463565541
oct1072264644
9342303500
10149514660
1177440639
12420a4830
1324c8c019
1415bddbc8
15d1d5990
hex8e969a4

149514660 has 240 divisors, whose sum is σ = 510436080. Its totient is φ = 36495360.

The previous prime is 149514653. The next prime is 149514671. The reversal of 149514660 is 66415941.

149514660 is a `hidden beast` number, since 149 + 51 + 466 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 21734244 + 127780416 = 4662^2 + 11304^2 .

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

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 79 ways as a sum of consecutive naturals, for example, 1679896 + ... + 1679984.

It is an arithmetic number, because the mean of its divisors is an integer number (2126817).

Almost surely, 2149514660 is an apocalyptic number.

149514660 is a gapful number since it is divisible by the number (10) 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 149514660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255218040).

149514660 is an abundant number, since it is smaller than the sum of its proper divisors (360921420).

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

149514660 is a wasteful number, since it uses less digits than its factorization.

149514660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 149514660 is about 12227.6187379228. The cubic root of 149514660 is about 530.7556090731.

The spelling of 149514660 in words is "one hundred forty-nine million, five hundred fourteen thousand, six hundred sixty".