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109944 = 2333509
BaseRepresentation
bin11010110101111000
312120211000
4122311320
512004234
62205000
7635352
oct326570
9176730
10109944
117566a
1253760
133b073
142c0d2
1522899
hex1ad78

109944 has 32 divisors (see below), whose sum is σ = 306000. Its totient is φ = 36576.

The previous prime is 109943. The next prime is 109961. The reversal of 109944 is 449901.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a plaindrome in base 15.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 109944.

It is not an unprimeable number, because it can be changed into a prime (109943) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39 + ... + 470.

2109944 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 109944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153000).

109944 is an abundant number, since it is smaller than the sum of its proper divisors (196056).

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

109944 is a wasteful number, since it uses less digits than its factorization.

109944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 109944 is about 331.5780451116. The cubic root of 109944 is about 47.9060662961.

The spelling of 109944 in words is "one hundred nine thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 509 1018 1527 2036 3054 4072 4581 6108 9162 12216 13743 18324 27486 36648 54972 109944