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150087168 = 293471147
BaseRepresentation
bin10001111001000…
…10011000000000
3101110102012220000
420330202120000
5301410242133
622520520000
73501501630
oct1074423000
9343365800
10150087168
11777a1790
1242320000
132512c79a
1415d0c6c0
15d29a413
hex8f22600

150087168 has 400 divisors, whose sum is σ = 570392064. Its totient is φ = 38154240.

The previous prime is 150087143. The next prime is 150087173. The reversal of 150087168 is 861780051.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3193321 + ... + 3193367.

Almost surely, 2150087168 is an apocalyptic number.

150087168 is a gapful number since it is divisible by the number (18) 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 150087168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285196032).

150087168 is an abundant number, since it is smaller than the sum of its proper divisors (420304896).

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

150087168 is an equidigital number, since it uses as much as digits as its factorization.

150087168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The square root of 150087168 is about 12251.0068157682. The cubic root of 150087168 is about 531.4321866857.

The spelling of 150087168 in words is "one hundred fifty million, eighty-seven thousand, one hundred sixty-eight".