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150580960 = 255941131
BaseRepresentation
bin10001111100110…
…10111011100000
3101111100022020121
420332122323200
5302022042320
622535250024
73505626355
oct1076327340
9344308217
10150580960
1177aa9782
1242519914
132527347a
1415dda62c
15d3468aa
hex8f9aee0

150580960 has 24 divisors (see below), whose sum is σ = 355747896. Its totient is φ = 60232320.

The previous prime is 150580901. The next prime is 150580967. The reversal of 150580960 is 69085051.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150580967) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 470406 + ... + 470725.

It is an arithmetic number, because the mean of its divisors is an integer number (14822829).

Almost surely, 2150580960 is an apocalyptic number.

150580960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

150580960 is an abundant number, since it is smaller than the sum of its proper divisors (205166936).

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

150580960 is an equidigital number, since it uses as much as digits as its factorization.

150580960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 941146 (or 941138 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 34.

The square root of 150580960 is about 12271.1433860093. The cubic root of 150580960 is about 532.0143588187.

The spelling of 150580960 in words is "one hundred fifty million, five hundred eighty thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 941131 1882262 3764524 4705655 7529048 9411310 15058096 18822620 30116192 37645240 75290480 150580960