Search a number
-
+
113824360 = 23513713083
BaseRepresentation
bin1101100100011…
…01001001101000
321221011212200001
412302031021220
5213114334420
615143352344
72551330306
oct662151150
9257155601
10113824360
1159283a21
12321526b4
131a773cc0
141118d276
159ed5b0a
hex6c8d268

113824360 has 64 divisors (see below), whose sum is σ = 279780480. Its totient is φ = 41422080.

The previous prime is 113824339. The next prime is 113824363. The reversal of 113824360 is 63428311.

It is not an unprimeable number, because it can be changed into a prime (113824363) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35379 + ... + 38461.

It is an arithmetic number, because the mean of its divisors is an integer number (4371570).

Almost surely, 2113824360 is an apocalyptic number.

113824360 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 113824360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139890240).

113824360 is an abundant number, since it is smaller than the sum of its proper divisors (165956120).

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

113824360 is a wasteful number, since it uses less digits than its factorization.

113824360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3178 (or 3174 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 113824360 is about 10668.8499848859. The cubic root of 113824360 is about 484.6316117080.

The spelling of 113824360 in words is "one hundred thirteen million, eight hundred twenty-four thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 71 104 130 142 260 284 355 520 568 710 923 1420 1846 2840 3083 3692 4615 6166 7384 9230 12332 15415 18460 24664 30830 36920 40079 61660 80158 123320 160316 200395 218893 320632 400790 437786 801580 875572 1094465 1603160 1751144 2188930 2845609 4377860 5691218 8755720 11382436 14228045 22764872 28456090 56912180 113824360