Search a number
-
+
152578090 = 2572397977
BaseRepresentation
bin10010001100000…
…10100000101010
3101122002202210101
421012002200222
5303024444330
623050140014
73531615040
oct1106024052
9348082711
10152578090
11791431a5
124312160a
13257c24c2
141639a390
15d5dd4ca
hex918282a

152578090 has 64 divisors (see below), whose sum is σ = 331236864. Its totient is φ = 49471488.

The previous prime is 152578081. The next prime is 152578169. The reversal of 152578090 is 90875251.

152578090 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 155682 + ... + 156658.

It is an arithmetic number, because the mean of its divisors is an integer number (5175576).

Almost surely, 2152578090 is an apocalyptic number.

152578090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

152578090 is an abundant number, since it is smaller than the sum of its proper divisors (178658774).

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

152578090 is a wasteful number, since it uses less digits than its factorization.

152578090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111.

The product of its (nonzero) digits is 25200, while the sum is 37.

The square root of 152578090 is about 12352.2504022546. The cubic root of 152578090 is about 534.3560423948.

The spelling of 152578090 in words is "one hundred fifty-two million, five hundred seventy-eight thousand, ninety".

Divisors: 1 2 5 7 10 14 23 35 46 70 97 115 161 194 230 322 485 679 805 970 977 1358 1610 1954 2231 3395 4462 4885 6790 6839 9770 11155 13678 15617 22310 22471 31234 34195 44942 68390 78085 94769 112355 156170 157297 189538 224710 314594 473845 663383 786485 947690 1326766 1572970 2179687 3316915 4359374 6633830 10898435 15257809 21796870 30515618 76289045 152578090