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113813190 = 23256120731
BaseRepresentation
bin1101100100010…
…10011011000110
321221011022100100
412302022123012
5213114010230
615143224530
72551252611
oct662123306
9257138310
10113813190
1159276597
1232148146
131a76bbaa
1411189178
159ed2660
hex6c8a6c6

113813190 has 48 divisors (see below), whose sum is σ = 300779856. Its totient is φ = 29851200.

The previous prime is 113813153. The next prime is 113813191. The reversal of 113813190 is 91318311.

It is a happy number.

It is a super-2 number, since 2×1138131902 = 25906884435952200, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113813191) 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 23 ways as a sum of consecutive naturals, for example, 4876 + ... + 15855.

It is an arithmetic number, because the mean of its divisors is an integer number (6266247).

Almost surely, 2113813190 is an apocalyptic number.

113813190 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

113813190 is an abundant number, since it is smaller than the sum of its proper divisors (186966666).

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

113813190 is a wasteful number, since it uses less digits than its factorization.

113813190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20805 (or 20802 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 113813190 is about 10668.3264854428. The cubic root of 113813190 is about 484.6157582996.

It can be divided in two parts, 113813 and 190, that added together give a triangular number (114003 = T477).

The spelling of 113813190 in words is "one hundred thirteen million, eight hundred thirteen thousand, one hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 61 90 122 183 305 366 549 610 915 1098 1830 2745 5490 20731 41462 62193 103655 124386 186579 207310 310965 373158 621930 932895 1264591 1865790 2529182 3793773 6322955 7587546 11381319 12645910 18968865 22762638 37937730 56906595 113813190