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10626993 = 3213611489
BaseRepresentation
bin101000100010…
…011110110001
3201222220111100
4220202132301
510210030433
61015435013
7156220326
oct50423661
921886440
1010626993
115aa9243
123685a69
132281080
1415a8b4d
15dedb13
hexa227b1

10626993 has 24 divisors (see below), whose sum is σ = 16813160. Its totient is φ = 6428160.

The previous prime is 10626991. The next prime is 10626997. The reversal of 10626993 is 39962601.

It can be written as a sum of positive squares in 4 ways, for example, as 685584 + 9941409 = 828^2 + 3153^2 .

It is not a de Polignac number, because 10626993 - 21 = 10626991 is a prime.

It is a super-2 number, since 2×106269932 = 225865960444098, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10626991) 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 23 ways as a sum of consecutive naturals, for example, 6393 + ... + 7881.

Almost surely, 210626993 is an apocalyptic number.

10626993 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10626993 is a deficient number, since it is larger than the sum of its proper divisors (6186167).

10626993 is a wasteful number, since it uses less digits than its factorization.

10626993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1569 (or 1566 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 10626993 is about 3259.9069005111. The cubic root of 10626993 is about 219.8552284451.

The spelling of 10626993 in words is "ten million, six hundred twenty-six thousand, nine hundred ninety-three".

Divisors: 1 3 9 13 39 61 117 183 549 793 1489 2379 4467 7137 13401 19357 58071 90829 174213 272487 817461 1180777 3542331 10626993