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109825728 = 263975897
BaseRepresentation
bin1101000101111…
…00111011000000
321122122201120120
412202330323000
5211103410403
614521540240
72502334425
oct642747300
9248581516
10109825728
1156aa2771
1230944680
13199a3c4c
141082bd4c
159995e53
hex68bcec0

109825728 has 56 divisors (see below), whose sum is σ = 293626032. Its totient is φ = 36225024.

The previous prime is 109825691. The next prime is 109825769. The reversal of 109825728 is 827528901.

It is a self number, because there is not a number n which added to its sum of digits gives 109825728.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15676 + ... + 21572.

It is an arithmetic number, because the mean of its divisors is an integer number (5243322).

Almost surely, 2109825728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109825728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146813016).

109825728 is an abundant number, since it is smaller than the sum of its proper divisors (183800304).

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

109825728 is an equidigital number, since it uses as much as digits as its factorization.

109825728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6009 (or 5999 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 42.

The square root of 109825728 is about 10479.7770968661. Note that the first 3 decimals coincide. The cubic root of 109825728 is about 478.8888185316. Note that the first 4 decimals are identical.

The spelling of 109825728 in words is "one hundred nine million, eight hundred twenty-five thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 97 192 194 291 388 582 776 1164 1552 2328 3104 4656 5897 6208 9312 11794 17691 18624 23588 35382 47176 70764 94352 141528 188704 283056 377408 566112 572009 1132224 1144018 1716027 2288036 3432054 4576072 6864108 9152144 13728216 18304288 27456432 36608576 54912864 109825728