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94116 = 223112331
BaseRepresentation
bin10110111110100100
311210002210
4112332210
511002431
62003420
7541251
oct267644
9153083
1094116
1164790
1246570
1333ab9
1426428
151cd46
hex16fa4

94116 has 48 divisors (see below), whose sum is σ = 258048. Its totient is φ = 26400.

The previous prime is 94111. The next prime is 94117. The reversal of 94116 is 61149.

Its product of digits (216) is a multiple of the sum of its prime factors (72).

It is a junction number, because it is equal to n+sod(n) for n = 94092 and 94101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (94111) by changing a digit.

94116 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 15 ways as a sum of consecutive naturals, for example, 3021 + ... + 3051.

It is an arithmetic number, because the mean of its divisors is an integer number (5376).

294116 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 94116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129024).

94116 is an abundant number, since it is smaller than the sum of its proper divisors (163932).

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

94116 is a wasteful number, since it uses less digits than its factorization.

94116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 70 counting only the distinct ones).

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

The square root of 94116 is about 306.7833111497. The cubic root of 94116 is about 45.4870550463.

It can be divided in two parts, 94 and 116, that added together give a triangular number (210 = T20).

The spelling of 94116 in words is "ninety-four thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 11 12 22 23 31 33 44 46 62 66 69 92 93 124 132 138 186 253 276 341 372 506 682 713 759 1012 1023 1364 1426 1518 2046 2139 2852 3036 4092 4278 7843 8556 15686 23529 31372 47058 94116