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10268352 = 263217827
BaseRepresentation
bin100111001010…
…111011000000
3201022200112100
4213022323000
510112041402
61004030400
7153164613
oct47127300
921280470
1010268352
115883846
123532400
132186a63
14151417a
15d7c71c
hex9caec0

10268352 has 42 divisors (see below), whose sum is σ = 29434028. Its totient is φ = 3422592.

The previous prime is 10268339. The next prime is 10268359. The reversal of 10268352 is 25386201.

It is not an unprimeable number, because it can be changed into a prime (10268359) by changing a digit.

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, 8338 + ... + 9489.

Almost surely, 210268352 is an apocalyptic number.

10268352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10268352 is an abundant number, since it is smaller than the sum of its proper divisors (19165676).

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

10268352 is a wasteful number, since it uses less digits than its factorization.

10268352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17845 (or 17832 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 10268352 is about 3204.4269378471. The cubic root of 10268352 is about 217.3536391464.

The spelling of 10268352 in words is "ten million, two hundred sixty-eight thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 17827 35654 53481 71308 106962 142616 160443 213924 285232 320886 427848 570464 641772 855696 1140928 1283544 1711392 2567088 3422784 5134176 10268352