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113332506 = 2371729337
BaseRepresentation
bin1101100000101…
…01000100011010
321220020212222020
412300111010122
5213003120011
615125035310
72544211320
oct660250432
9256225866
10113332506
1158a78431
1231b55b36
131a631171
14110a1d10
159e3a006
hex6c1511a

113332506 has 48 divisors (see below), whose sum is σ = 275209536. Its totient is φ = 30472704.

The previous prime is 113332481. The next prime is 113332507. The reversal of 113332506 is 605233311.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (113332507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7470 + ... + 16806.

It is an arithmetic number, because the mean of its divisors is an integer number (5733532).

Almost surely, 2113332506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113332506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137604768).

113332506 is an abundant number, since it is smaller than the sum of its proper divisors (161877030).

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

113332506 is a wasteful number, since it uses less digits than its factorization.

113332506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9383 (or 9366 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 24.

The square root of 113332506 is about 10645.7740911594. The cubic root of 113332506 is about 483.9325458667.

Adding to 113332506 its reverse (605233311), we get a palindrome (718565817).

The spelling of 113332506 in words is "one hundred thirteen million, three hundred thirty-two thousand, five hundred six".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 102 119 238 289 357 578 714 867 1734 2023 4046 6069 9337 12138 18674 28011 56022 65359 130718 158729 196077 317458 392154 476187 952374 1111103 2222206 2698393 3333309 5396786 6666618 8095179 16190358 18888751 37777502 56666253 113332506