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109152720 = 243251979101
BaseRepresentation
bin1101000000110…
…00100111010000
321121101112101100
412200120213100
5210420341340
614455304400
72463532335
oct640304720
9247345340
10109152720
1156683066
123067b100
13197c9811
14106d498c
1598b1830
hex68189d0

109152720 has 240 divisors, whose sum is σ = 394617600. Its totient is φ = 26956800.

The previous prime is 109152697. The next prime is 109152721. The reversal of 109152720 is 27251901.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109152721) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1080670 + ... + 1080770.

It is an arithmetic number, because the mean of its divisors is an integer number (1644240).

Almost surely, 2109152720 is an apocalyptic number.

109152720 is a gapful number since it is divisible by the number (10) 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 109152720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197308800).

109152720 is an abundant number, since it is smaller than the sum of its proper divisors (285464880).

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

109152720 is a wasteful number, since it uses less digits than its factorization.

109152720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 109152720 is about 10447.6179103181. The cubic root of 109152720 is about 477.9086092441.

The spelling of 109152720 in words is "one hundred nine million, one hundred fifty-two thousand, seven hundred twenty".