Search a number
-
+
113148960 = 25352337277
BaseRepresentation
bin1101011111010…
…00010000100000
321212220120012020
412233220100200
5212431231320
615121101440
72542515231
oct657502040
9255816166
10113148960
1158962541
1231a87880
131a598762
1411055088
159e00940
hex6be8420

113148960 has 192 divisors, whose sum is σ = 383346432. Its totient is φ = 27979776.

The previous prime is 113148949. The next prime is 113148979. The reversal of 113148960 is 69841311.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 408342 + ... + 408618.

It is an arithmetic number, because the mean of its divisors is an integer number (1996596).

Almost surely, 2113148960 is an apocalyptic number.

113148960 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 113148960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191673216).

113148960 is an abundant number, since it is smaller than the sum of its proper divisors (270197472).

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

113148960 is a wasteful number, since it uses less digits than its factorization.

113148960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 113148960 is about 10637.1499942419. The cubic root of 113148960 is about 483.6711560838.

The spelling of 113148960 in words is "one hundred thirteen million, one hundred forty-eight thousand, nine hundred sixty".