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109753056 = 2534723263
BaseRepresentation
bin1101000101010…
…11001011100000
321122112000220000
412202223023200
5211044044211
614520220000
72501612520
oct642531340
9248460800
10109753056
1156a53106
123090a600
1319979b4a
141080d680
15997e656
hex68ab2e0

109753056 has 240 divisors, whose sum is σ = 386394624. Its totient is φ = 29880576.

The previous prime is 109752997. The next prime is 109753057. The reversal of 109753056 is 650357901.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 109753056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109753057) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 417181 + ... + 417443.

Almost surely, 2109753056 is an apocalyptic number.

109753056 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 109753056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193197312).

109753056 is an abundant number, since it is smaller than the sum of its proper divisors (276641568).

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

109753056 is a wasteful number, since it uses less digits than its factorization.

109753056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 36.

The square root of 109753056 is about 10476.3092737853. The cubic root of 109753056 is about 478.7831678557.

The spelling of 109753056 in words is "one hundred nine million, seven hundred fifty-three thousand, fifty-six".