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113769400 = 23524313229
BaseRepresentation
bin1101100011111…
…11101110111000
321221002002021111
412301333232320
5213111110100
615142250104
72551011133
oct661775670
9257062244
10113769400
11592466a8
1232126934
131a754c94
141117721a
159ec46ba
hex6c7fbb8

113769400 has 48 divisors (see below), whose sum is σ = 270685800. Its totient is φ = 44446080.

The previous prime is 113769391. The next prime is 113769419. The reversal of 113769400 is 4967311.

It is a happy number.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1986 + ... + 15214.

Almost surely, 2113769400 is an apocalyptic number.

113769400 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 113769400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135342900).

113769400 is an abundant number, since it is smaller than the sum of its proper divisors (156916400).

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

113769400 is a wasteful number, since it uses less digits than its factorization.

113769400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13288 (or 13279 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 31.

The square root of 113769400 is about 10666.2739511040. The cubic root of 113769400 is about 484.5535978233.

The spelling of 113769400 in words is "one hundred thirteen million, seven hundred sixty-nine thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 43 50 86 100 172 200 215 344 430 860 1075 1720 2150 4300 8600 13229 26458 52916 66145 105832 132290 264580 330725 529160 568847 661450 1137694 1322900 2275388 2645800 2844235 4550776 5688470 11376940 14221175 22753880 28442350 56884700 113769400