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113874768 = 2433737657
BaseRepresentation
bin1101100100110…
…01011101010000
321221021102211000
412302121131100
5213122443033
615144422000
72551630260
oct662313520
9257242730
10113874768
1159308887
1232177900
131a790c27
14111a37a0
159ee5a13
hex6c99750

113874768 has 80 divisors (see below), whose sum is σ = 373567360. Its totient is φ = 32534784.

The previous prime is 113874767. The next prime is 113874781. The reversal of 113874768 is 867478311.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113874767) by changing a digit.

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, 15805 + ... + 21852.

It is an arithmetic number, because the mean of its divisors is an integer number (4669592).

Almost surely, 2113874768 is an apocalyptic number.

113874768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

113874768 is an abundant number, since it is smaller than the sum of its proper divisors (259692592).

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

113874768 is a wasteful number, since it uses less digits than its factorization.

113874768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37681 (or 37669 counting only the distinct ones).

The product of its digits is 225792, while the sum is 45.

The square root of 113874768 is about 10671.2121148443. The cubic root of 113874768 is about 484.7031421049.

The spelling of 113874768 in words is "one hundred thirteen million, eight hundred seventy-four thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 3024 37657 75314 112971 150628 225942 263599 301256 338913 451884 527198 602512 677826 790797 903768 1016739 1054396 1355652 1581594 1807536 2033478 2108792 2372391 2711304 3163188 4066956 4217584 4744782 5422608 6326376 7117173 8133912 9489564 12652752 14234346 16267824 18979128 28468692 37958256 56937384 113874768