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152326080 = 26325227233
BaseRepresentation
bin10010001010001…
…00111111000000
3101121121222002200
421011010333000
5302443413310
623040513200
73526515234
oct1105047700
9347558080
10152326080
1178a90925
124301b800
132573489a
14163325c4
15d58d9c0
hex9144fc0

152326080 has 168 divisors, whose sum is σ = 528504912. Its totient is φ = 40267776.

The previous prime is 152326063. The next prime is 152326087. The reversal of 152326080 is 80623251.

152326080 is a `hidden beast` number, since 1 + 52 + 3 + 2 + 608 + 0 = 666.

It is a super-3 number, since 3×1523260803 (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152326087) 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 23 ways as a sum of consecutive naturals, for example, 653644 + ... + 653876.

Almost surely, 2152326080 is an apocalyptic number.

152326080 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 152326080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264252456).

152326080 is an abundant number, since it is smaller than the sum of its proper divisors (376178832).

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

152326080 is a wasteful number, since it uses less digits than its factorization.

152326080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 152326080 is about 12342.0452113902. The cubic root of 152326080 is about 534.0616854213.

It can be divided in two parts, 15232 and 6080, that added together give a palindrome (21312).

The spelling of 152326080 in words is "one hundred fifty-two million, three hundred twenty-six thousand, eighty".