Search a number
-
+
113794660 = 22572831399
BaseRepresentation
bin1101100100001…
…01111001100100
321221010100221001
412302011321210
5213112412120
615143003044
72551144600
oct662057144
9257110831
10113794660
1159263681
1232139484
131a763625
1411182500
159ecbe0a
hex6c85e64

113794660 has 72 divisors (see below), whose sum is σ = 281534400. Its totient is φ = 38517696.

The previous prime is 113794649. The next prime is 113794679. The reversal of 113794660 is 66497311.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80641 + ... + 82039.

It is an arithmetic number, because the mean of its divisors is an integer number (3910200).

Almost surely, 2113794660 is an apocalyptic number.

113794660 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 113794660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140767200).

113794660 is an abundant number, since it is smaller than the sum of its proper divisors (167739740).

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

113794660 is a wasteful number, since it uses less digits than its factorization.

113794660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1505 (or 1496 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 37.

The square root of 113794660 is about 10667.4579914804. The cubic root of 113794660 is about 484.5894566692.

The spelling of 113794660 in words is "one hundred thirteen million, seven hundred ninety-four thousand, six hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 83 98 140 166 196 245 332 415 490 581 830 980 1162 1399 1660 2324 2798 2905 4067 5596 5810 6995 8134 9793 11620 13990 16268 19586 20335 27980 39172 40670 48965 68551 81340 97930 116117 137102 195860 232234 274204 342755 464468 580585 685510 812819 1161170 1371020 1625638 2322340 3251276 4064095 5689733 8128190 11379466 16256380 22758932 28448665 56897330 113794660