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10627903 = 111325717
BaseRepresentation
bin101000100010…
…101100111111
3201222221202001
4220202230333
510210043103
61015443131
7156223066
oct50425477
921887661
1010627903
115aa99a0
1236864a7
132281600
1415a91dd
15dee01d
hexa22b3f

10627903 has 12 divisors (see below), whose sum is σ = 12556728. Its totient is φ = 8916960.

The previous prime is 10627871. The next prime is 10627951. The reversal of 10627903 is 30972601.

It is not a de Polignac number, because 10627903 - 25 = 10627871 is a prime.

It is a super-2 number, since 2×106279032 = 225904644354818, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10607903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1000 + ... + 4717.

It is an arithmetic number, because the mean of its divisors is an integer number (1046394).

Almost surely, 210627903 is an apocalyptic number.

10627903 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

10627903 is a deficient number, since it is larger than the sum of its proper divisors (1928825).

10627903 is a wasteful number, since it uses less digits than its factorization.

10627903 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5754 (or 5741 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 28.

The square root of 10627903 is about 3260.0464720614. The cubic root of 10627903 is about 219.8615037401.

The spelling of 10627903 in words is "ten million, six hundred twenty-seven thousand, nine hundred three".

Divisors: 1 11 13 143 169 1859 5717 62887 74321 817531 966173 10627903