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10268816 = 2417191987
BaseRepresentation
bin100111001011…
…000010010000
3201022201011112
4213023002100
510112100231
61004032452
7153166145
oct47130220
921281145
1010268816
115884128
123532728
13218702c
1415143cc
15d7c92b
hex9cb090

10268816 has 40 divisors (see below), whose sum is σ = 22186080. Its totient is φ = 4575744.

The previous prime is 10268809. The next prime is 10268821. The reversal of 10268816 is 61886201.

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, 4175 + ... + 6161.

It is an arithmetic number, because the mean of its divisors is an integer number (554652).

Almost surely, 210268816 is an apocalyptic number.

10268816 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 10268816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11093040).

10268816 is an abundant number, since it is smaller than the sum of its proper divisors (11917264).

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

10268816 is a wasteful number, since it uses less digits than its factorization.

10268816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2031 (or 2025 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 32.

The square root of 10268816 is about 3204.4993368700. The cubic root of 10268816 is about 217.3569129781.

The spelling of 10268816 in words is "ten million, two hundred sixty-eight thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 17 19 34 38 68 76 136 152 272 304 323 646 1292 1987 2584 3974 5168 7948 15896 31792 33779 37753 67558 75506 135116 151012 270232 302024 540464 604048 641801 1283602 2567204 5134408 10268816