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113338992 = 24313374909
BaseRepresentation
bin1101100000101…
…10101001110000
321220021012212110
412300112221300
5213003321432
615125125320
72544236244
oct660265160
9256235773
10113338992
1158a82298
1231b59840
131a6340c0
14110a4424
159e3bdcc
hex6c16a70

113338992 has 80 divisors (see below), whose sum is σ = 323902880. Its totient is φ = 33924096.

The previous prime is 113338987. The next prime is 113338993. The reversal of 113338992 is 299833311.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 113338992.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113338993) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20634 + ... + 25542.

It is an arithmetic number, because the mean of its divisors is an integer number (4048786).

Almost surely, 2113338992 is an apocalyptic number.

113338992 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 113338992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161951440).

113338992 is an abundant number, since it is smaller than the sum of its proper divisors (210563888).

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

113338992 is a wasteful number, since it uses less digits than its factorization.

113338992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4970 (or 4964 counting only the distinct ones).

The product of its digits is 34992, while the sum is 39.

The square root of 113338992 is about 10646.0787147193. The cubic root of 113338992 is about 483.9417774829.

The spelling of 113338992 in words is "one hundred thirteen million, three hundred thirty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 37 39 48 52 74 78 104 111 148 156 208 222 296 312 444 481 592 624 888 962 1443 1776 1924 2886 3848 4909 5772 7696 9818 11544 14727 19636 23088 29454 39272 58908 63817 78544 117816 127634 181633 191451 235632 255268 363266 382902 510536 544899 726532 765804 1021072 1089798 1453064 1531608 2179596 2361229 2906128 3063216 4359192 4722458 7083687 8718384 9444916 14167374 18889832 28334748 37779664 56669496 113338992