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113400364 = 227112831301
BaseRepresentation
bin1101100001001…
…01101000101100
321220101100001111
412300211220230
5213012302424
615130321404
72544613210
oct660455054
9256340044
10113400364
1159014410
1231b89264
131a65600c
14110bc940
159e50194
hex6c25a2c

113400364 has 48 divisors (see below), whose sum is σ = 248484096. Its totient is φ = 43992000.

The previous prime is 113400361. The next prime is 113400377. The reversal of 113400364 is 463004311.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (113400361) 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, 86514 + ... + 87814.

It is an arithmetic number, because the mean of its divisors is an integer number (5176752).

Almost surely, 2113400364 is an apocalyptic number.

113400364 is a gapful number since it is divisible by the number (14) 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 113400364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124242048).

113400364 is an abundant number, since it is smaller than the sum of its proper divisors (135083732).

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

113400364 is a wasteful number, since it uses less digits than its factorization.

113400364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1606 (or 1604 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 113400364 is about 10648.9607004627. The cubic root of 113400364 is about 484.0291116975.

Adding to 113400364 its reverse (463004311), we get a palindrome (576404675).

The spelling of 113400364 in words is "one hundred thirteen million, four hundred thousand, three hundred sixty-four".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 283 308 566 1132 1301 1981 2602 3113 3962 5204 6226 7924 9107 12452 14311 18214 21791 28622 36428 43582 57244 87164 100177 200354 368183 400708 736366 1472732 2577281 4050013 5154562 8100026 10309124 16200052 28350091 56700182 113400364