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112716 = 223231101
BaseRepresentation
bin11011100001001100
312201121200
4123201030
512101331
62225500
7646422
oct334114
9181550
10112716
117775a
1255290
133c3c6
142d112
15235e6
hex1b84c

112716 has 36 divisors (see below), whose sum is σ = 297024. Its totient is φ = 36000.

The previous prime is 112691. The next prime is 112741. The reversal of 112716 is 617211.

It is an interprime number because it is at equal distance from previous prime (112691) and next prime (112741).

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a zygodrome in base 6.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1066 + ... + 1166.

2112716 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148512).

112716 is an abundant number, since it is smaller than the sum of its proper divisors (184308).

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

112716 is a wasteful number, since it uses less digits than its factorization.

112716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 137 counting only the distinct ones).

The product of its digits is 84, while the sum is 18.

The square root of 112716 is about 335.7320360049. The cubic root of 112716 is about 48.3053451384.

Adding to 112716 its reverse (617211), we get a palindrome (729927).

It can be divided in two parts, 112 and 716, that added together give a palindrome (828).

The spelling of 112716 in words is "one hundred twelve thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 101 124 186 202 279 303 372 404 558 606 909 1116 1212 1818 3131 3636 6262 9393 12524 18786 28179 37572 56358 112716