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109724896 = 255989653
BaseRepresentation
bin1101000101001…
…00010011100000
321122110121021001
412202210103200
5211042144041
614515441344
72501434441
oct642442340
9248417231
10109724896
1156a33a36
12308b6254
131996a098
14108032c8
159976131
hex68a44e0

109724896 has 48 divisors (see below), whose sum is σ = 222490800. Its totient is φ = 53244928.

The previous prime is 109724873. The next prime is 109724899. The reversal of 109724896 is 698427901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109724899) 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, 167706 + ... + 168358.

It is an arithmetic number, because the mean of its divisors is an integer number (4635225).

Almost surely, 2109724896 is an apocalyptic number.

109724896 is a gapful number since it is divisible by the number (16) 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 109724896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111245400).

109724896 is an abundant number, since it is smaller than the sum of its proper divisors (112765904).

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

109724896 is an equidigital number, since it uses as much as digits as its factorization.

109724896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 811 (or 803 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 46.

The square root of 109724896 is about 10474.9652028062. The cubic root of 109724896 is about 478.7422162632.

The spelling of 109724896 in words is "one hundred nine million, seven hundred twenty-four thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 32 59 89 118 178 236 356 472 653 712 944 1306 1424 1888 2612 2848 5224 5251 10448 10502 20896 21004 38527 42008 58117 77054 84016 116234 154108 168032 232468 308216 464936 616432 929872 1232864 1859744 3428903 6857806 13715612 27431224 54862448 109724896