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113524398 = 23213267557
BaseRepresentation
bin1101100010000…
…11111010101110
321220121122012100
412301003322232
5213030240043
615133115530
72545640631
oct661037256
9256548170
10113524398
1159099619
1232028ba6
131a69a600
1411111c18
159e76cd3
hex6c43eae

113524398 has 72 divisors (see below), whose sum is σ = 270806328. Its totient is φ = 34347456.

The previous prime is 113524391. The next prime is 113524409. The reversal of 113524398 is 893425311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113524391) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 203536 + ... + 204092.

It is an arithmetic number, because the mean of its divisors is an integer number (3761199).

Almost surely, 2113524398 is an apocalyptic number.

113524398 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 113524398, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135403164).

113524398 is an abundant number, since it is smaller than the sum of its proper divisors (157281930).

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

113524398 is a wasteful number, since it uses less digits than its factorization.

113524398 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 642 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 113524398 is about 10654.7828696788. The cubic root of 113524398 is about 484.2055196896.

The spelling of 113524398 in words is "one hundred thirteen million, five hundred twenty-four thousand, three hundred ninety-eight".

Divisors: 1 2 3 6 9 13 18 26 39 67 78 117 134 169 201 234 338 402 507 557 603 871 1014 1114 1206 1521 1671 1742 2613 3042 3342 5013 5226 7241 7839 10026 11323 14482 15678 21723 22646 33969 37319 43446 65169 67938 74638 94133 101907 111957 130338 188266 203814 223914 282399 335871 485147 564798 671742 847197 970294 1455441 1694394 2910882 4366323 6306911 8732646 12613822 18920733 37841466 56762199 113524398