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150676200 = 23345271131
BaseRepresentation
bin10001111101100…
…10001011101000
3101111112010220000
420332302023220
5302033114300
622541303000
73506504133
oct1076621350
9344463800
10150676200
1178064294
1242564a60
13252a791c
141602321a
15d364c00
hex8fb22e8

150676200 has 240 divisors, whose sum is σ = 534742560. Its totient is φ = 39312000.

The previous prime is 150676187. The next prime is 150676231. The reversal of 150676200 is 2676051.

150676200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1150135 + ... + 1150265.

It is an arithmetic number, because the mean of its divisors is an integer number (2228094).

Almost surely, 2150676200 is an apocalyptic number.

150676200 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 150676200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267371280).

150676200 is an abundant number, since it is smaller than the sum of its proper divisors (384066360).

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

150676200 is a wasteful number, since it uses less digits than its factorization.

150676200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 150676200 is about 12275.0234215662. The cubic root of 150676200 is about 532.1264986467.

The spelling of 150676200 in words is "one hundred fifty million, six hundred seventy-six thousand, two hundred".