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113826328 = 23711257719
BaseRepresentation
bin1101100100011…
…01101000011000
321221011222100221
412302031220120
5213114420303
615143405424
72551336120
oct662155030
9257158327
10113826328
1159285450
1232153874
131a774b75
141118dc80
159ed64bd
hex6c8da18

113826328 has 64 divisors (see below), whose sum is σ = 267494400. Its totient is φ = 44113920.

The previous prime is 113826301. The next prime is 113826329. The reversal of 113826328 is 823628311.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 113826293 and 113826302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113826329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 157953 + ... + 158671.

It is an arithmetic number, because the mean of its divisors is an integer number (4179600).

Almost surely, 2113826328 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 113826328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133747200).

113826328 is an abundant number, since it is smaller than the sum of its proper divisors (153668072).

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

113826328 is a wasteful number, since it uses less digits than its factorization.

113826328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1000 (or 996 counting only the distinct ones).

The product of its digits is 13824, while the sum is 34.

The square root of 113826328 is about 10668.9422156088. The cubic root of 113826328 is about 484.6344047525.

The spelling of 113826328 in words is "one hundred thirteen million, eight hundred twenty-six thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 257 308 514 616 719 1028 1438 1799 2056 2827 2876 3598 5033 5654 5752 7196 7909 10066 11308 14392 15818 19789 20132 22616 31636 39578 40264 55363 63272 79156 110726 158312 184783 221452 369566 442904 739132 1293481 1478264 2032613 2586962 4065226 5173924 8130452 10347848 14228291 16260904 28456582 56913164 113826328