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112660 = 22543131
BaseRepresentation
bin11011100000010100
312201112121
4123200110
512101120
62225324
7646312
oct334024
9181477
10112660
1177709
1255244
133c382
142d0b2
15235aa
hex1b814

112660 has 24 divisors (see below), whose sum is σ = 243936. Its totient is φ = 43680.

The previous prime is 112657. The next prime is 112663. The reversal of 112660 is 66211.

It is an interprime number because it is at equal distance from previous prime (112657) and next prime (112663).

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 795 + ... + 925.

It is an arithmetic number, because the mean of its divisors is an integer number (10164).

2112660 is an apocalyptic number.

112660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121968).

112660 is an abundant number, since it is smaller than the sum of its proper divisors (131276).

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

112660 is a wasteful number, since it uses less digits than its factorization.

112660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 112660 is about 335.6486257979. The cubic root of 112660 is about 48.2973440636.

Adding to 112660 its reverse (66211), we get a palindrome (178871).

It can be divided in two parts, 112 and 660, that multiplied together give a triangular number (73920 = T384).

The spelling of 112660 in words is "one hundred twelve thousand, six hundred sixty".

Divisors: 1 2 4 5 10 20 43 86 131 172 215 262 430 524 655 860 1310 2620 5633 11266 22532 28165 56330 112660