Search a number
-
+
152187360 = 253513293
BaseRepresentation
bin10010001001000…
…11000111100000
3101121100220210220
421010203013200
5302424443420
623033523040
73525366633
oct1104430740
9347326726
10152187360
11789a6686
1242b73480
13256b66c0
14162d7c1a
15d562840
hex91231e0

152187360 has 192 divisors, whose sum is σ = 534703680. Its totient is φ = 36169728.

The previous prime is 152187311. The next prime is 152187379. The reversal of 152187360 is 63781251.

152187360 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 754 × 290 × 696.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5247826 + ... + 5247854.

It is an arithmetic number, because the mean of its divisors is an integer number (2784915).

Almost surely, 2152187360 is an apocalyptic number.

152187360 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 152187360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267351840).

152187360 is an abundant number, since it is smaller than the sum of its proper divisors (382516320).

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

152187360 is an equidigital number, since it uses as much as digits as its factorization.

152187360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 152187360 is about 12336.4241172229. The cubic root of 152187360 is about 533.8995167859.

It can be divided in two parts, 15218 and 7360, that added together give a triangular number (22578 = T212).

The spelling of 152187360 in words is "one hundred fifty-two million, one hundred eighty-seven thousand, three hundred sixty".