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112590 = 2345139
BaseRepresentation
bin11011011111001110
312201110000
4123133032
512100330
62225130
7646152
oct333716
9181400
10112590
1177655
12551a6
133c32a
142d062
1523560
hex1b7ce

112590 has 40 divisors (see below), whose sum is σ = 304920. Its totient is φ = 29808.

The previous prime is 112589. The next prime is 112601. The reversal of 112590 is 95211.

It can be divided in two parts, 11 and 2590, that added together give a square (2601 = 512).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a nialpdrome in base 11.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 741 + ... + 879.

It is an arithmetic number, because the mean of its divisors is an integer number (7623).

112590 is a Friedman number, since it can be written as 12510*9, using all its digits and the basic arithmetic operations.

2112590 is an apocalyptic number.

112590 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 112590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152460).

112590 is an abundant number, since it is smaller than the sum of its proper divisors (192330).

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

112590 is a wasteful number, since it uses less digits than its factorization.

112590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 112590 is about 335.5443338815. The cubic root of 112590 is about 48.2873389907.

The spelling of 112590 in words is "one hundred twelve thousand, five hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 139 162 270 278 405 417 695 810 834 1251 1390 2085 2502 3753 4170 6255 7506 11259 12510 18765 22518 37530 56295 112590