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10056337 is a prime number
BaseRepresentation
bin100110010111…
…001010010001
3200220220200221
4212113022101
510033300322
6555313041
7151322524
oct46271221
920826627
1010056337
115749525
12344b781
1321113c5
14149abbb
15d399c7
hex997291

10056337 has 2 divisors, whose sum is σ = 10056338. Its totient is φ = 10056336.

The previous prime is 10056329. The next prime is 10056349. The reversal of 10056337 is 73365001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9834496 + 221841 = 3136^2 + 471^2 .

It is a cyclic number.

It is not a de Polignac number, because 10056337 - 23 = 10056329 is a prime.

It is a super-2 number, since 2×100563372 = 202259827715138, which contains 22 as substring.

It is equal to p668104 and since 10056337 and 668104 have the same sum of digits, it is a Honaker prime.

It is a plaindrome in base 14.

It is not a weakly prime, because it can be changed into another prime (10056437) 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 as a sum of consecutive naturals, namely, 5028168 + 5028169.

It is an arithmetic number, because the mean of its divisors is an integer number (5028169).

Almost surely, 210056337 is an apocalyptic number.

It is an amenable number.

10056337 is a deficient number, since it is larger than the sum of its proper divisors (1).

10056337 is an equidigital number, since it uses as much as digits as its factorization.

10056337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1890, while the sum is 25.

The square root of 10056337 is about 3171.1728114374. The cubic root of 10056337 is about 215.8472928995.

The spelling of 10056337 in words is "ten million, fifty-six thousand, three hundred thirty-seven".