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10268368 = 2411411423
BaseRepresentation
bin100111001010…
…111011010000
3201022200112221
4213022323100
510112041433
61004030424
7153164635
oct47127320
921280487
1010268368
115883860
123532414
132186a76
14151418c
15d7c72d
hex9caed0

10268368 has 40 divisors (see below), whose sum is σ = 22248576. Its totient is φ = 4550400.

The previous prime is 10268359. The next prime is 10268369. The reversal of 10268368 is 86386201.

10268368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10268369) 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, 6505 + ... + 7927.

Almost surely, 210268368 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 10268368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11124288).

10268368 is an abundant number, since it is smaller than the sum of its proper divisors (11980208).

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

10268368 is a wasteful number, since it uses less digits than its factorization.

10268368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1483 (or 1477 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 10268368 is about 3204.4294343923. The cubic root of 10268368 is about 217.3537520388.

The spelling of 10268368 in words is "ten million, two hundred sixty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 41 44 82 88 164 176 328 451 656 902 1423 1804 2846 3608 5692 7216 11384 15653 22768 31306 58343 62612 116686 125224 233372 250448 466744 641773 933488 1283546 2567092 5134184 10268368