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113378868 = 223223149919
BaseRepresentation
bin1101100001000…
…00011000110100
321220100020120100
412300200120310
5213011110433
615130034100
72544463431
oct660403064
9256306510
10113378868
1158aaa249
1231b78930
131a6492b5
14110b4b88
159e48b13
hex6c20634

113378868 has 72 divisors (see below), whose sum is σ = 301392000. Its totient is φ = 35868096.

The previous prime is 113378861. The next prime is 113378879. The reversal of 113378868 is 868873311.

It is a super-2 number, since 2×1133788682 = 25709535417922848, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113378861) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 122913 + ... + 123831.

It is an arithmetic number, because the mean of its divisors is an integer number (4186000).

Almost surely, 2113378868 is an apocalyptic number.

113378868 is a gapful number since it is divisible by the number (18) 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 113378868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150696000).

113378868 is an abundant number, since it is smaller than the sum of its proper divisors (188013132).

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

113378868 is a wasteful number, since it uses less digits than its factorization.

113378868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1101 (or 1096 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 113378868 is about 10647.9513522555. The cubic root of 113378868 is about 483.9985258248.

The spelling of 113378868 in words is "one hundred thirteen million, three hundred seventy-eight thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 149 207 276 298 414 447 596 828 894 919 1341 1788 1838 2682 2757 3427 3676 5364 5514 6854 8271 10281 11028 13708 16542 20562 21137 30843 33084 41124 42274 61686 63411 84548 123372 126822 136931 190233 253644 273862 380466 410793 547724 760932 821586 1232379 1643172 2464758 3149413 4929516 6298826 9448239 12597652 18896478 28344717 37792956 56689434 113378868