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10266816 = 26377639
BaseRepresentation
bin100111001010…
…100011000000
3201022121102110
4213022203000
510112014231
61004015320
7153160260
oct47124300
921277373
1010266816
11588267a
123531540
132186151
1415137a0
15d7c046
hex9ca8c0

10266816 has 56 divisors (see below), whose sum is σ = 31048960. Its totient is φ = 2932992.

The previous prime is 10266799. The next prime is 10266833. The reversal of 10266816 is 61866201.

It is an interprime number because it is at equal distance from previous prime (10266799) and next prime (10266833).

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-4 number, since 4×102668164 (a number of 29 digits) contains 4444 as substring.

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, 2476 + ... + 5163.

Almost surely, 210266816 is an apocalyptic number.

10266816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10266816 is an abundant number, since it is smaller than the sum of its proper divisors (20782144).

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

10266816 is an equidigital number, since it uses as much as digits as its factorization.

10266816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7661 (or 7651 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 10266816 is about 3204.1872604453. The cubic root of 10266816 is about 217.3428009308.

The spelling of 10266816 in words is "ten million, two hundred sixty-six thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 7639 15278 22917 30556 45834 53473 61112 91668 106946 122224 160419 183336 213892 244448 320838 366672 427784 488896 641676 733344 855568 1283352 1466688 1711136 2566704 3422272 5133408 10266816