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113049984 = 273833547
BaseRepresentation
bin1101011110100…
…00000110000000
321212201112102110
412233100012000
5212420044414
615115015320
72541623535
oct657200600
9255645373
10113049984
11588a5143
1231a3a540
131a5626a8
141102ad8c
159dd1459
hex6bd0180

113049984 has 64 divisors (see below), whose sum is σ = 303992640. Its totient is φ = 37218816.

The previous prime is 113049977. The next prime is 113050031. The reversal of 113049984 is 489940311.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30099 + ... + 33645.

It is an arithmetic number, because the mean of its divisors is an integer number (4749885).

Almost surely, 2113049984 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 113049984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151996320).

113049984 is an abundant number, since it is smaller than the sum of its proper divisors (190942656).

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

113049984 is an equidigital number, since it uses as much as digits as its factorization.

113049984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3647 (or 3635 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 113049984 is about 10632.4966023978. The cubic root of 113049984 is about 483.5300859947.

The spelling of 113049984 in words is "one hundred thirteen million, forty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 83 96 128 166 192 249 332 384 498 664 996 1328 1992 2656 3547 3984 5312 7094 7968 10624 10641 14188 15936 21282 28376 31872 42564 56752 85128 113504 170256 227008 294401 340512 454016 588802 681024 883203 1177604 1362048 1766406 2355208 3532812 4710416 7065624 9420832 14131248 18841664 28262496 37683328 56524992 113049984