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116616 = 23343113
BaseRepresentation
bin11100011110001000
312220222010
4130132020
512212431
62255520
7663663
oct343610
9186863
10116616
117a685
12575a0
1341106
14306da
1524846
hex1c788

116616 has 32 divisors (see below), whose sum is σ = 300960. Its totient is φ = 37632.

The previous prime is 116593. The next prime is 116639. The reversal of 116616 is 616611.

It is an interprime number because it is at equal distance from previous prime (116593) and next prime (116639).

It is a Smith number, since the sum of its digits (21) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 116592 and 116601.

It is a congruent number.

It is an unprimeable number.

116616 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 976 + ... + 1088.

It is an arithmetic number, because the mean of its divisors is an integer number (9405).

2116616 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 116616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150480).

116616 is an abundant number, since it is smaller than the sum of its proper divisors (184344).

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

116616 is a wasteful number, since it uses less digits than its factorization.

116616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 161 counting only the distinct ones).

The product of its digits is 216, while the sum is 21.

The square root of 116616 is about 341.4908490721. The cubic root of 116616 is about 48.8561657360.

The spelling of 116616 in words is "one hundred sixteen thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 24 43 86 113 129 172 226 258 339 344 452 516 678 904 1032 1356 2712 4859 9718 14577 19436 29154 38872 58308 116616