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10682641 is a prime number
BaseRepresentation
bin101000110000…
…000100010001
3202002201211101
4220300010101
510213321031
61020544401
7156541504
oct50600421
922081741
1010682641
116037032
1236b2101
1322a04b8
1415c113b
15e10361
hexa30111

10682641 has 2 divisors, whose sum is σ = 10682642. Its totient is φ = 10682640.

The previous prime is 10682629. The next prime is 10682653. The reversal of 10682641 is 14628601.

10682641 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (10682629) and next prime (10682653).

It can be written as a sum of positive squares in only one way, i.e., 10595025 + 87616 = 3255^2 + 296^2 .

It is a cyclic number.

It is not a de Polignac number, because 10682641 - 29 = 10682129 is a prime.

It is a super-2 number, since 2×106826412 = 228237637469762, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10682611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5341320 + 5341321.

It is an arithmetic number, because the mean of its divisors is an integer number (5341321).

Almost surely, 210682641 is an apocalyptic number.

It is an amenable number.

10682641 is a deficient number, since it is larger than the sum of its proper divisors (1).

10682641 is an equidigital number, since it uses as much as digits as its factorization.

10682641 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 10682641 is about 3268.4309691349. The cubic root of 10682641 is about 220.2383161298.

The spelling of 10682641 in words is "ten million, six hundred eighty-two thousand, six hundred forty-one".