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116844 = 223713107
BaseRepresentation
bin11100100001101100
312221021120
4130201230
512214334
62300540
7664440
oct344154
9187246
10116844
117a872
1257750
1341250
1430820
1524949
hex1c86c

116844 has 48 divisors (see below), whose sum is σ = 338688. Its totient is φ = 30528.

The previous prime is 116833. The next prime is 116849. The reversal of 116844 is 448611.

116844 = T77 + T78 + ... + T104.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is an Ulam number.

It is a nialpdrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116849) by changing a digit.

116844 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, 1039 + ... + 1145.

It is an arithmetic number, because the mean of its divisors is an integer number (7056).

2116844 is an apocalyptic number.

116844 is a gapful number since it is divisible by the number (14) 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 116844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169344).

116844 is an abundant number, since it is smaller than the sum of its proper divisors (221844).

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

116844 is a wasteful number, since it uses less digits than its factorization.

116844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 132 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

The square root of 116844 is about 341.8245163823. The cubic root of 116844 is about 48.8879851379.

The spelling of 116844 in words is "one hundred sixteen thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 107 156 182 214 273 321 364 428 546 642 749 1092 1284 1391 1498 2247 2782 2996 4173 4494 5564 8346 8988 9737 16692 19474 29211 38948 58422 116844