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112290 = 23519197
BaseRepresentation
bin11011011010100010
312201000220
4123122202
512043130
62223510
7645243
oct333242
9181026
10112290
1177402
1254b96
133c159
142ccca
1523410
hex1b6a2

112290 has 32 divisors (see below), whose sum is σ = 285120. Its totient is φ = 28224.

The previous prime is 112289. The next prime is 112291. The reversal of 112290 is 92211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (112289) and next prime (112291).

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

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112291) 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, 472 + ... + 668.

It is an arithmetic number, because the mean of its divisors is an integer number (8910).

2112290 is an apocalyptic number.

112290 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 112290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142560).

112290 is an abundant number, since it is smaller than the sum of its proper divisors (172830).

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

112290 is a wasteful number, since it uses less digits than its factorization.

112290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226.

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 112290 is about 335.0970008818. The cubic root of 112290 is about 48.2444130734.

The spelling of 112290 in words is "one hundred twelve thousand, two hundred ninety".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 190 197 285 394 570 591 985 1182 1970 2955 3743 5910 7486 11229 18715 22458 37430 56145 112290