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113532564 = 223291073049
BaseRepresentation
bin1101100010001…
…01111010010100
321220122001101210
412301011322110
5213031020224
615133221420
72546003505
oct661057224
9256561353
10113532564
11590a4772
1232031870
131a6a1242
1411114bac
159e79429
hex6c45e94

113532564 has 48 divisors (see below), whose sum is σ = 276696000. Its totient is φ = 36185856.

The previous prime is 113532563. The next prime is 113532607. The reversal of 113532564 is 465235311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113532563) 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, 35712 + ... + 38760.

It is an arithmetic number, because the mean of its divisors is an integer number (5764500).

Almost surely, 2113532564 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 113532564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138348000).

113532564 is an abundant number, since it is smaller than the sum of its proper divisors (163163436).

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

113532564 is a wasteful number, since it uses less digits than its factorization.

113532564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3192 (or 3190 counting only the distinct ones).

The product of its digits is 10800, while the sum is 30.

The square root of 113532564 is about 10655.1660709723. The cubic root of 113532564 is about 484.2171293158.

Adding to 113532564 its reverse (465235311), we get a palindrome (578767875).

The spelling of 113532564 in words is "one hundred thirteen million, five hundred thirty-two thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 12 29 58 87 107 116 174 214 321 348 428 642 1284 3049 3103 6098 6206 9147 9309 12196 12412 18294 18618 36588 37236 88421 176842 265263 326243 353684 530526 652486 978729 1061052 1304972 1957458 3914916 9461047 18922094 28383141 37844188 56766282 113532564