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149630976 = 212341141
BaseRepresentation
bin10001110101100…
…11000000000000
3101102120001010000
420322303000000
5301301142401
622503040000
73464561625
oct1072630000
9342501100
10149630976
117750aa70
1242140000
1324cccc51
1415c3034c
15d20a186
hex8eb3000

149630976 has 260 divisors, whose sum is σ = 499519944. Its totient is φ = 44236800.

The previous prime is 149630959. The next prime is 149631049. The reversal of 149630976 is 679036941.

149630976 is a `hidden beast` number, since 1 + 4 + 9 + 630 + 9 + 7 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3649516 + ... + 3649556.

Almost surely, 2149630976 is an apocalyptic number.

149630976 is a gapful number since it is divisible by the number (16) 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 149630976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249759972).

149630976 is an abundant number, since it is smaller than the sum of its proper divisors (349888968).

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

149630976 is an equidigital number, since it uses as much as digits as its factorization.

149630976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 149630976 is about 12232.3740949989. The cubic root of 149630976 is about 530.8932084389.

The spelling of 149630976 in words is "one hundred forty-nine million, six hundred thirty thousand, nine hundred seventy-six".