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113341932 = 223211793623
BaseRepresentation
bin1101100000101…
…11010111101100
321220021100220100
412300113113230
5213003420212
615125151100
72544250644
oct660272754
9256240810
10113341932
1158a84520
1231b5b490
131a635542
14110a5524
159e3cbdc
hex6c175ec

113341932 has 72 divisors (see below), whose sum is σ = 316592640. Its totient is φ = 33901920.

The previous prime is 113341927. The next prime is 113341939. The reversal of 113341932 is 239143311.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 113341896 and 113341905.

It is not an unprimeable number, because it can be changed into a prime (113341939) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29473 + ... + 33095.

It is an arithmetic number, because the mean of its divisors is an integer number (4397120).

Almost surely, 2113341932 is an apocalyptic number.

113341932 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113341932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158296320).

113341932 is an abundant number, since it is smaller than the sum of its proper divisors (203250708).

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

113341932 is a wasteful number, since it uses less digits than its factorization.

113341932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3723 (or 3718 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 113341932 is about 10646.2167928330. The cubic root of 113341932 is about 483.9459619108.

The spelling of 113341932 in words is "one hundred thirteen million, three hundred forty-one thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 79 99 132 158 198 237 316 396 474 711 869 948 1422 1738 2607 2844 3476 3623 5214 7246 7821 10428 10869 14492 15642 21738 31284 32607 39853 43476 65214 79706 119559 130428 159412 239118 286217 358677 478236 572434 717354 858651 1144868 1434708 1717302 2575953 3148387 3434604 5151906 6296774 9445161 10303812 12593548 18890322 28335483 37780644 56670966 113341932