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150670080 = 28325112941
BaseRepresentation
bin10001111101100…
…00101100000000
3101111111211111100
420332300230000
5302032420310
622541214400
73506450241
oct1076605400
9344454440
10150670080
117805a730
1242561400
13252a4bc2
1416020cc8
15d362ec0
hex8fb0b00

150670080 has 432 divisors, whose sum is σ = 602652960. Its totient is φ = 34406400.

The previous prime is 150670063. The next prime is 150670087. The reversal of 150670080 is 80076051.

It is not an unprimeable number, because it can be changed into a prime (150670087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3674860 + ... + 3674900.

It is an arithmetic number, because the mean of its divisors is an integer number (1395030).

Almost surely, 2150670080 is an apocalyptic number.

150670080 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 150670080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301326480).

150670080 is an abundant number, since it is smaller than the sum of its proper divisors (451982880).

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

150670080 is a wasteful number, since it uses less digits than its factorization.

150670080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 150670080 is about 12274.7741323415. The cubic root of 150670080 is about 532.1192941064.

The spelling of 150670080 in words is "one hundred fifty million, six hundred seventy thousand, eighty".