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113679216 = 24327216111
BaseRepresentation
bin1101100011010…
…01101101110000
321220220111120100
412301221231300
5213100213331
615140312400
72550154200
oct661515560
9256814510
10113679216
1159194972
12320a2700
131a722c11
1411152400
159ea7ae6
hex6c69b70

113679216 has 90 divisors (see below), whose sum is σ = 370108752. Its totient is φ = 32477760.

The previous prime is 113679211. The next prime is 113679227. The reversal of 113679216 is 612976311.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 (113679211) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1000 + ... + 15111.

Almost surely, 2113679216 is an apocalyptic number.

113679216 is a gapful number since it is divisible by the number (16) 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 113679216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185054376).

113679216 is an abundant number, since it is smaller than the sum of its proper divisors (256429536).

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

113679216 is a wasteful number, since it uses less digits than its factorization.

113679216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16139 (or 16123 counting only the distinct ones).

The product of its digits is 13608, while the sum is 36.

The square root of 113679216 is about 10662.0455823449. The cubic root of 113679216 is about 484.4255301902.

The spelling of 113679216 in words is "one hundred thirteen million, six hundred seventy-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 392 441 504 588 784 882 1008 1176 1764 2352 3528 7056 16111 32222 48333 64444 96666 112777 128888 144999 193332 225554 257776 289998 338331 386664 451108 579996 676662 773328 789439 902216 1014993 1159992 1353324 1578878 1804432 2029986 2319984 2368317 2706648 3157756 4059972 4736634 5413296 6315512 7104951 8119944 9473268 12631024 14209902 16239888 18946536 28419804 37893072 56839608 113679216