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113846404 = 22721921609
BaseRepresentation
bin1101100100100…
…10100010000100
321221012222220111
412302102202010
5213121041104
615144042404
72551451500
oct662224204
9257188814
10113846404
1159299541
1232163404
131a781049
1411197300
159edc404
hex6c92884

113846404 has 54 divisors (see below), whose sum is σ = 244750590. Its totient is φ = 46194624.

The previous prime is 113846401. The next prime is 113846419. The reversal of 113846404 is 404648311.

It can be written as a sum of positive squares in only one way, i.e., 113209600 + 636804 = 10640^2 + 798^2 .

It is a super-2 number, since 2×1138464042 = 25922007407462432, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (113846401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 69952 + ... + 71560.

Almost surely, 2113846404 is an apocalyptic number.

113846404 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 113846404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122375295).

113846404 is an abundant number, since it is smaller than the sum of its proper divisors (130904186).

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

113846404 is a wasteful number, since it uses less digits than its factorization.

113846404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1665 (or 1637 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 113846404 is about 10669.8830359100. The cubic root of 113846404 is about 484.6628953736.

The spelling of 113846404 in words is "one hundred thirteen million, eight hundred forty-six thousand, four hundred four".

Divisors: 1 2 4 7 14 19 28 38 49 76 98 133 196 266 361 532 722 931 1444 1609 1862 2527 3218 3724 5054 6436 10108 11263 17689 22526 30571 35378 45052 61142 70756 78841 122284 157682 213997 315364 427994 580849 855988 1161698 1497979 2323396 2995958 4065943 5991916 8131886 16263772 28461601 56923202 113846404