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113662864 = 24719311723
BaseRepresentation
bin1101100011001…
…01101110010000
321220212200010201
412301211232100
5213044202424
615140104544
72550055420
oct661455620
9256780121
10113662864
1159183657
1232095154
131a718643
141114a480
159ea2d44
hex6c65b90

113662864 has 80 divisors (see below), whose sum is σ = 273633280. Its totient is φ = 44634240.

The previous prime is 113662859. The next prime is 113662891. The reversal of 113662864 is 468266311.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65107 + ... + 66829.

It is an arithmetic number, because the mean of its divisors is an integer number (3420416).

Almost surely, 2113662864 is an apocalyptic number.

113662864 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 113662864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136816640).

113662864 is an abundant number, since it is smaller than the sum of its proper divisors (159970416).

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

113662864 is a wasteful number, since it uses less digits than its factorization.

113662864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1788 (or 1782 counting only the distinct ones).

The product of its digits is 41472, while the sum is 37.

The square root of 113662864 is about 10661.2787225548. The cubic root of 113662864 is about 484.4023019450.

It can be divided in two parts, 1136 and 62864, that added together give a cube (64000 = 403).

The spelling of 113662864 in words is "one hundred thirteen million, six hundred sixty-two thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 19 28 31 38 56 62 76 112 124 133 152 217 248 266 304 434 496 532 589 868 1064 1178 1723 1736 2128 2356 3446 3472 4123 4712 6892 8246 9424 12061 13784 16492 24122 27568 32737 32984 48244 53413 65474 65968 96488 106826 130948 192976 213652 229159 261896 373891 427304 458318 523792 747782 854608 916636 1014847 1495564 1833272 2029694 2991128 3666544 4059388 5982256 7103929 8118776 14207858 16237552 28415716 56831432 113662864