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109350 = 23752
BaseRepresentation
bin11010101100100110
312120000000
4122230212
511444400
62202130
7633543
oct325446
9176000
10109350
117517a
1253346
133aa07
142bbca
1522600
hex1ab26

109350 has 48 divisors (see below), whose sum is σ = 305040. Its totient is φ = 29160.

The previous prime is 109331. The next prime is 109357. The reversal of 109350 is 53901.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109357) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21868 + ... + 21872.

It is an arithmetic number, because the mean of its divisors is an integer number (6355).

109350 is a Friedman number, since it can be written as 150*9^(3+0), using all its digits and the basic arithmetic operations.

2109350 is an apocalyptic number.

109350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 109350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152520).

109350 is an abundant number, since it is smaller than the sum of its proper divisors (195690).

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

109350 is an frugal number, since it uses more digits than its factorization.

109350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

The square root of 109350 is about 330.6811152757. The cubic root of 109350 is about 47.8196356132.

The spelling of 109350 in words is "one hundred nine thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 81 90 135 150 162 225 243 270 405 450 486 675 729 810 1215 1350 1458 2025 2187 2430 3645 4050 4374 6075 7290 10935 12150 18225 21870 36450 54675 109350