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10295296 = 21111457
BaseRepresentation
bin100111010001…
…100000000000
3201101001111021
4213101200000
510113422141
61004355224
7153336304
oct47214000
921331437
1010295296
1158a2010
123545b14
1321960bb
14151dd04
15d856d1
hex9d1800

10295296 has 48 divisors (see below), whose sum is σ = 22506120. Its totient is φ = 4669440.

The previous prime is 10295293. The next prime is 10295309. The reversal of 10295296 is 69259201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10295291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22300 + ... + 22756.

Almost surely, 210295296 is an apocalyptic number.

10295296 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 10295296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11253060).

10295296 is an abundant number, since it is smaller than the sum of its proper divisors (12210824).

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

10295296 is an equidigital number, since it uses as much as digits as its factorization.

10295296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 34.

The square root of 10295296 is about 3208.6283673869. The cubic root of 10295296 is about 217.5435839905.

The spelling of 10295296 in words is "ten million, two hundred ninety-five thousand, two hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 457 512 704 914 1024 1408 1828 2048 2816 3656 5027 5632 7312 10054 11264 14624 20108 22528 29248 40216 58496 80432 116992 160864 233984 321728 467968 643456 935936 1286912 2573824 5147648 10295296