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113864140 = 22513538263
BaseRepresentation
bin1101100100101…
…10110111001100
321221020220020101
412302112313030
5213122123030
615144300444
72551554265
oct662266714
9257226211
10113864140
11593008a5
1232171724
131a789140
141119d96c
159ee27ca
hex6c96dcc

113864140 has 48 divisors (see below), whose sum is σ = 262398528. Its totient is φ = 41243904.

The previous prime is 113864123. The next prime is 113864143. The reversal of 113864140 is 41468311.

It is a junction number, because it is equal to n+sod(n) for n = 113864099 and 113864108.

It is not an unprimeable number, because it can be changed into a prime (113864143) 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, 9649 + ... + 17911.

It is an arithmetic number, because the mean of its divisors is an integer number (5466636).

Almost surely, 2113864140 is an apocalyptic number.

113864140 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 113864140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131199264).

113864140 is an abundant number, since it is smaller than the sum of its proper divisors (148534388).

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

113864140 is a wasteful number, since it uses less digits than its factorization.

113864140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8338 (or 8336 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 113864140 is about 10670.7141279298. The cubic root of 113864140 is about 484.6880624246.

The spelling of 113864140 in words is "one hundred thirteen million, eight hundred sixty-four thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 53 65 106 130 212 260 265 530 689 1060 1378 2756 3445 6890 8263 13780 16526 33052 41315 82630 107419 165260 214838 429676 437939 537095 875878 1074190 1751756 2148380 2189695 4379390 5693207 8758780 11386414 22772828 28466035 56932070 113864140