Search a number
-
+
113678368 = 2519593169
BaseRepresentation
bin1101100011010…
…01100000100000
321220220110101221
412301221200200
5213100201433
615140304424
72550151546
oct661514040
9256813357
10113678368
1159194271
12320a2114
131a72270b
1411151d96
159ea772d
hex6c69820

113678368 has 48 divisors (see below), whose sum is σ = 239652000. Its totient is φ = 52918272.

The previous prime is 113678359. The next prime is 113678381. The reversal of 113678368 is 863876311.

It is a super-2 number, since 2×1136783682 = 25845542702286848, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34288 + ... + 37456.

It is an arithmetic number, because the mean of its divisors is an integer number (4992750).

Almost surely, 2113678368 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 113678368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119826000).

113678368 is an abundant number, since it is smaller than the sum of its proper divisors (125973632).

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

113678368 is a wasteful number, since it uses less digits than its factorization.

113678368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3257 (or 3249 counting only the distinct ones).

The product of its digits is 145152, while the sum is 43.

The square root of 113678368 is about 10662.0058150425. The cubic root of 113678368 is about 484.4243256490.

The spelling of 113678368 in words is "one hundred thirteen million, six hundred seventy-eight thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 19 32 38 59 76 118 152 236 304 472 608 944 1121 1888 2242 3169 4484 6338 8968 12676 17936 25352 35872 50704 60211 101408 120422 186971 240844 373942 481688 747884 963376 1495768 1926752 2991536 3552449 5983072 7104898 14209796 28419592 56839184 113678368