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10268272 = 247175393
BaseRepresentation
bin100111001010…
…111001110000
3201022200102101
4213022321300
510112041042
61004030144
7153164440
oct47127160
921280371
1010268272
115883783
123532354
132186a01
141514120
15d7c6b7
hex9cae70

10268272 has 40 divisors (see below), whose sum is σ = 24078816. Its totient is φ = 4141056.

The previous prime is 10268261. The next prime is 10268299. The reversal of 10268272 is 27286201.

10268272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 10268272.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 793 + ... + 4600.

Almost surely, 210268272 is an apocalyptic number.

It is an amenable number.

10268272 is an abundant number, since it is smaller than the sum of its proper divisors (13810544).

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

10268272 is a wasteful number, since it uses less digits than its factorization.

10268272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5425 (or 5419 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 10268272 is about 3204.4144550916. The cubic root of 10268272 is about 217.3530746827.

The spelling of 10268272 in words is "ten million, two hundred sixty-eight thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 112 119 136 238 272 476 952 1904 5393 10786 21572 37751 43144 75502 86288 91681 151004 183362 302008 366724 604016 641767 733448 1283534 1466896 2567068 5134136 10268272