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109332720 = 24335721033
BaseRepresentation
bin1101000010001…
…00100011110000
321121201200022000
412201010203300
5210442121340
614503214000
72465212200
oct641044360
9247650260
10109332720
1156796322
1230747300
1319860723
1410740400
1598e9d30
hex68448f0

109332720 has 240 divisors, whose sum is σ = 438498720. Its totient is φ = 24966144.

The previous prime is 109332709. The next prime is 109332721. The reversal of 109332720 is 27233901.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109332721) 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, 105324 + ... + 106356.

It is an arithmetic number, because the mean of its divisors is an integer number (1827078).

Almost surely, 2109332720 is an apocalyptic number.

109332720 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 109332720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219249360).

109332720 is an abundant number, since it is smaller than the sum of its proper divisors (329166000).

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

109332720 is a wasteful number, since it uses less digits than its factorization.

109332720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1069 (or 1050 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 109332720 is about 10456.2287656688. The cubic root of 109332720 is about 478.1711658614.

The spelling of 109332720 in words is "one hundred nine million, three hundred thirty-two thousand, seven hundred twenty".