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113513790 = 235131915319
BaseRepresentation
bin1101100010000…
…01010100111110
321220121002122110
412301001110332
5213024420130
615132554450
72545564665
oct661012476
9256532573
10113513790
1159091655
1232022a26
131a695830
141110bddc
159e73ab0
hex6c4153e

113513790 has 64 divisors (see below), whose sum is σ = 308851200. Its totient is φ = 26469504.

The previous prime is 113513747. The next prime is 113513791. The reversal of 113513790 is 97315311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113513791) 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 31 ways as a sum of consecutive naturals, for example, 250 + ... + 15069.

It is an arithmetic number, because the mean of its divisors is an integer number (4825800).

Almost surely, 2113513790 is an apocalyptic number.

113513790 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 113513790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154425600).

113513790 is an abundant number, since it is smaller than the sum of its proper divisors (195337410).

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

113513790 is a wasteful number, since it uses less digits than its factorization.

113513790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15361.

The product of its (nonzero) digits is 2835, while the sum is 30.

The square root of 113513790 is about 10654.2850534421. The cubic root of 113513790 is about 484.1904374335.

The spelling of 113513790 in words is "one hundred thirteen million, five hundred thirteen thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 10 13 15 19 26 30 38 39 57 65 78 95 114 130 190 195 247 285 390 494 570 741 1235 1482 2470 3705 7410 15319 30638 45957 76595 91914 153190 199147 229785 291061 398294 459570 582122 597441 873183 995735 1194882 1455305 1746366 1991470 2910610 2987205 3783793 4365915 5974410 7567586 8731830 11351379 18918965 22702758 37837930 56756895 113513790