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115239328 = 25173733
BaseRepresentation
bin1101101111001…
…10100110100000
322000211202122021
412313212212200
5214000124303
615233551224
72566342501
oct667464640
9260752567
10115239328
115a060016
1232715514
131ab4b069
141143aba8
15a1b4ebd
hex6de69a0

115239328 has 48 divisors (see below), whose sum is σ = 241383240. Its totient is φ = 54156288.

The previous prime is 115239323. The next prime is 115239343. The reversal of 115239328 is 823932511.

It can be written as a sum of positive squares in 4 ways, for example, as 115175824 + 63504 = 10732^2 + 252^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 115239293 and 115239302.

It is not an unprimeable number, because it can be changed into a prime (115239323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 156850 + ... + 157582.

Almost surely, 2115239328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115239328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120691620).

115239328 is an abundant number, since it is smaller than the sum of its proper divisors (126143912).

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

115239328 is an frugal number, since it uses more digits than its factorization.

115239328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794 (or 752 counting only the distinct ones).

The product of its digits is 12960, while the sum is 34.

The square root of 115239328 is about 10734.9582206919. The cubic root of 115239328 is about 486.6315239109.

The spelling of 115239328 in words is "one hundred fifteen million, two hundred thirty-nine thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 289 544 578 733 1156 1466 2312 2932 4624 4913 5864 9248 9826 11728 12461 19652 23456 24922 39304 49844 78608 99688 157216 199376 211837 398752 423674 847348 1694696 3389392 3601229 6778784 7202458 14404916 28809832 57619664 115239328