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10713629 is a prime number
BaseRepresentation
bin101000110111…
…101000011101
3202011022100002
4220313220131
510220314004
61021344045
7160031033
oct50675035
922138302
1010713629
116058343
123708025
1322b1634
1415cc553
15e1961e
hexa37a1d

10713629 has 2 divisors, whose sum is σ = 10713630. Its totient is φ = 10713628.

The previous prime is 10713617. The next prime is 10713641. The reversal of 10713629 is 92631701.

It is a balanced prime because it is at equal distance from previous prime (10713617) and next prime (10713641).

It can be written as a sum of positive squares in only one way, i.e., 6604900 + 4108729 = 2570^2 + 2027^2 .

It is a cyclic number.

It is not a de Polignac number, because 10713629 - 216 = 10648093 is a prime.

It is a super-2 number, since 2×107136292 = 229563692699282, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10713029) 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 as a sum of consecutive naturals, namely, 5356814 + 5356815.

It is an arithmetic number, because the mean of its divisors is an integer number (5356815).

Almost surely, 210713629 is an apocalyptic number.

It is an amenable number.

10713629 is a deficient number, since it is larger than the sum of its proper divisors (1).

10713629 is an equidigital number, since it uses as much as digits as its factorization.

10713629 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2268, while the sum is 29.

The square root of 10713629 is about 3273.1680372385. The cubic root of 10713629 is about 220.4510649099.

The spelling of 10713629 in words is "ten million, seven hundred thirteen thousand, six hundred twenty-nine".