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150676680 = 233571123709
BaseRepresentation
bin10001111101100…
…10010011001000
3101111112011112210
420332302103020
5302033123210
622541305120
73506505420
oct1076622310
9344464483
10150676680
1178064690
12425651a0
13252a7bcb
1416023480
15d364e20
hex8fb24c8

150676680 has 256 divisors, whose sum is σ = 588902400. Its totient is φ = 29905920.

The previous prime is 150676633. The next prime is 150676693. The reversal of 150676680 is 86676051.

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 63 ways as a sum of consecutive naturals, for example, 212166 + ... + 212874.

It is an arithmetic number, because the mean of its divisors is an integer number (2300400).

Almost surely, 2150676680 is an apocalyptic number.

150676680 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 150676680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294451200).

150676680 is an abundant number, since it is smaller than the sum of its proper divisors (438225720).

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

150676680 is a wasteful number, since it uses less digits than its factorization.

150676680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 150676680 is about 12275.0429734482. The cubic root of 150676680 is about 532.1270637004.

The spelling of 150676680 in words is "one hundred fifty million, six hundred seventy-six thousand, six hundred eighty".