Search a number
-
+
113293488 = 243721129151
BaseRepresentation
bin1101100000010…
…11100010110000
321220011220110010
412300023202300
5213000342423
615124134520
72543656500
oct660134260
9256156403
10113293488
1158a51090
1231b37440
131a619489
1411091a00
159e2d693
hex6c0b8b0

113293488 has 240 divisors, whose sum is σ = 386760960. Its totient is φ = 28224000.

The previous prime is 113293483. The next prime is 113293501. The reversal of 113293488 is 884392311.

It is a super-2 number, since 2×1132934882 = 25670828846412288, which contains 22 as substring.

Its product of digits (41472) is a multiple of the sum of its prime factors (216).

It is not an unprimeable number, because it can be changed into a prime (113293483) 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 47 ways as a sum of consecutive naturals, for example, 750213 + ... + 750363.

It is an arithmetic number, because the mean of its divisors is an integer number (1611504).

Almost surely, 2113293488 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 113293488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193380480).

113293488 is an abundant number, since it is smaller than the sum of its proper divisors (273467472).

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

113293488 is a wasteful number, since it uses less digits than its factorization.

113293488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 203 counting only the distinct ones).

The product of its digits is 41472, while the sum is 39.

The square root of 113293488 is about 10643.9413752613. The cubic root of 113293488 is about 483.8770035571.

The spelling of 113293488 in words is "one hundred thirteen million, two hundred ninety-three thousand, four hundred eighty-eight".