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113190 = 2357311
BaseRepresentation
bin11011101000100110
312202021020
4123220212
512110230
62232010
7651000
oct335046
9182236
10113190
1178050
1255606
133c69c
142d370
1523810
hex1ba26

113190 has 64 divisors (see below), whose sum is σ = 345600. Its totient is φ = 23520.

The previous prime is 113189. The next prime is 113209. The reversal of 113190 is 91311.

It is a super-2 number, since 2×1131902 = 25623952200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a nialpdrome in base 7.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10285 + ... + 10295.

It is an arithmetic number, because the mean of its divisors is an integer number (5400).

2113190 is an apocalyptic number.

113190 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 113190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172800).

113190 is an abundant number, since it is smaller than the sum of its proper divisors (232410).

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

113190 is a wasteful number, since it uses less digits than its factorization.

113190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 15.

The square root of 113190 is about 336.4372155395. The cubic root of 113190 is about 48.3729626101.

It can be divided in two parts, 1131 and 90, that added together give a palindrome (1221).

The spelling of 113190 in words is "one hundred thirteen thousand, one hundred ninety".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 49 55 66 70 77 98 105 110 147 154 165 210 231 245 294 330 343 385 462 490 539 686 735 770 1029 1078 1155 1470 1617 1715 2058 2310 2695 3234 3430 3773 5145 5390 7546 8085 10290 11319 16170 18865 22638 37730 56595 113190