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113117784 = 2331321672
BaseRepresentation
bin1101011111000…
…00101001011000
321212211222102120
412233200221120
5212424232114
615120301240
72542325313
oct657405130
9255758376
10113117784
115894107a
1231a71820
131a587500
141104797a
159de65a9
hex6be0a58

113117784 has 72 divisors (see below), whose sum is σ = 308065860. Its totient is φ = 34597056.

The previous prime is 113117761. The next prime is 113117801. The reversal of 113117784 is 487711311.

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 17 ways as a sum of consecutive naturals, for example, 677269 + ... + 677435.

Almost surely, 2113117784 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113117784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154032930).

113117784 is an abundant number, since it is smaller than the sum of its proper divisors (194948076).

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

113117784 is a wasteful number, since it uses less digits than its factorization.

113117784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 185 counting only the distinct ones).

The product of its digits is 4704, while the sum is 33.

The square root of 113117784 is about 10635.6844631646. The cubic root of 113117784 is about 483.6267299366.

Multiplying 113117784 by its product of digits (4704), we get a square (532106055936 = 7294562).

It can be divided in two parts, 1131 and 17784, that added together give a triangular number (18915 = T194).

The spelling of 113117784 in words is "one hundred thirteen million, one hundred seventeen thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 167 169 312 334 338 501 507 668 676 1002 1014 1336 1352 2004 2028 2171 4008 4056 4342 6513 8684 13026 17368 26052 27889 28223 52104 55778 56446 83667 84669 111556 112892 167334 169338 223112 225784 334668 338676 362557 669336 677352 725114 1087671 1450228 2175342 2900456 4350684 4713241 8701368 9426482 14139723 18852964 28279446 37705928 56558892 113117784