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10275296 = 25232607
BaseRepresentation
bin100111001100…
…100111100000
3201100001001112
4213030213200
510112302141
61004122452
7153224063
oct47144740
921301045
1010275296
115888a89
123536428
132189c75
1415168da
15d7e7eb
hex9cc9e0

10275296 has 36 divisors (see below), whose sum is σ = 21182112. Its totient is φ = 4906176.

The previous prime is 10275289. The next prime is 10275301. The reversal of 10275296 is 69257201.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 16625 + ... + 17231.

It is an arithmetic number, because the mean of its divisors is an integer number (588392).

Almost surely, 210275296 is an apocalyptic number.

10275296 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 10275296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10591056).

10275296 is an abundant number, since it is smaller than the sum of its proper divisors (10906816).

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

10275296 is an equidigital number, since it uses as much as digits as its factorization.

10275296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 32.

The square root of 10275296 is about 3205.5102557939. The cubic root of 10275296 is about 217.4026234292.

The spelling of 10275296 in words is "ten million, two hundred seventy-five thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 23 32 46 92 184 368 529 607 736 1058 1214 2116 2428 4232 4856 8464 9712 13961 16928 19424 27922 55844 111688 223376 321103 446752 642206 1284412 2568824 5137648 10275296