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152794080 = 25335113313
BaseRepresentation
bin10010001101101…
…11001111100000
3101122111202002000
421012313033200
5303103402310
623054524000
73533504535
oct1106671740
9348452060
10152794080
11792804aa
1243206600
13258698ca
1416414d8c
15d6324c0
hex91b73e0

152794080 has 192 divisors, whose sum is σ = 541235520. Its totient is φ = 40255488.

The previous prime is 152794073. The next prime is 152794087. The reversal of 152794080 is 80497251.

152794080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (152794073) and next prime (152794087).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152794087) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 488004 + ... + 488316.

It is an arithmetic number, because the mean of its divisors is an integer number (2818935).

Almost surely, 2152794080 is an apocalyptic number.

152794080 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 152794080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270617760).

152794080 is an abundant number, since it is smaller than the sum of its proper divisors (388441440).

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

152794080 is a wasteful number, since it uses less digits than its factorization.

152794080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 152794080 is about 12360.9902515939. The cubic root of 152794080 is about 534.6080688457.

The spelling of 152794080 in words is "one hundred fifty-two million, seven hundred ninety-four thousand, eighty".