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109926 = 23231197
BaseRepresentation
bin11010110101100110
312120210100
4122311212
512004201
62204530
7635325
oct326546
9176710
10109926
1175653
1253746
133b05b
142c0bc
1522886
hex1ad66

109926 has 24 divisors (see below), whose sum is σ = 247104. Its totient is φ = 35280.

The previous prime is 109919. The next prime is 109937. The reversal of 109926 is 629901.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 109926.

It is a congruent number.

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, 460 + ... + 656.

It is an arithmetic number, because the mean of its divisors is an integer number (10296).

2109926 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109926, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123552).

109926 is an abundant number, since it is smaller than the sum of its proper divisors (137178).

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

109926 is a wasteful number, since it uses less digits than its factorization.

109926 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 109926 is about 331.5509010695. The cubic root of 109926 is about 47.9034517643.

It can be divided in two parts, 109 and 926, that added together give a triangular number (1035 = T45).

The spelling of 109926 in words is "one hundred nine thousand, nine hundred twenty-six".

Divisors: 1 2 3 6 9 18 31 62 93 186 197 279 394 558 591 1182 1773 3546 6107 12214 18321 36642 54963 109926