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10126057 = 31241257
BaseRepresentation
bin100110101000…
…001011101001
3201001110100011
4212220023221
510043013212
61001011521
7152033014
oct46501351
921043304
1010126057
115796947
123483ba1
132137066
1414b837b
15d504a7
hex9a82e9

10126057 has 12 divisors (see below), whose sum is σ = 10760148. Its totient is φ = 9523200.

The previous prime is 10126037. The next prime is 10126063. The reversal of 10126057 is 75062101.

It can be written as a sum of positive squares in 2 ways, for example, as 5550736 + 4575321 = 2356^2 + 2139^2 .

It is not a de Polignac number, because 10126057 - 219 = 9601769 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10126037) 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 11 ways as a sum of consecutive naturals, for example, 39273 + ... + 39529.

It is an arithmetic number, because the mean of its divisors is an integer number (896679).

Almost surely, 210126057 is an apocalyptic number.

It is an amenable number.

10126057 is a deficient number, since it is larger than the sum of its proper divisors (634091).

10126057 is an equidigital number, since it uses as much as digits as its factorization.

10126057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 22.

The square root of 10126057 is about 3182.1466025311. The cubic root of 10126057 is about 216.3449634708.

Adding to 10126057 its reverse (75062101), we get a palindrome (85188158).

The spelling of 10126057 in words is "ten million, one hundred twenty-six thousand, fifty-seven".

Divisors: 1 31 41 257 961 1271 7967 10537 39401 246977 326647 10126057