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116676 = 22327463
BaseRepresentation
bin11100011111000100
312221001100
4130133010
512213201
62300100
7664110
oct343704
9187040
10116676
117a72a
1257630
1341151
1430740
1524886
hex1c7c4

116676 has 36 divisors (see below), whose sum is σ = 337792. Its totient is φ = 33264.

The previous prime is 116663. The next prime is 116681. The reversal of 116676 is 676611.

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

It is a super-2 number, since 2×1166762 = 27226577952, which contains 22 as substring.

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

It is a nialpdrome in base 7.

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, 21 + ... + 483.

2116676 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 116676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168896).

116676 is an abundant number, since it is smaller than the sum of its proper divisors (221116).

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

116676 is a wasteful number, since it uses less digits than its factorization.

116676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 475 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 116676 is about 341.5786878598. The cubic root of 116676 is about 48.8645432809.

The spelling of 116676 in words is "one hundred sixteen thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 463 926 1389 1852 2778 3241 4167 5556 6482 8334 9723 12964 16668 19446 29169 38892 58338 116676