Search a number
-
+
10557937 = 13262473
BaseRepresentation
bin101000010001…
…100111110001
3201212101202201
4220101213301
510200323222
61014143201
7155512105
oct50214761
921771681
1010557937
115a61375
123651b01
132258800
14158b905
15dd8427
hexa119f1

10557937 has 6 divisors (see below), whose sum is σ = 11432742. Its totient is φ = 9745632.

The previous prime is 10557931. The next prime is 10557947. The reversal of 10557937 is 73975501.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1936 + 10556001 = 44^2 + 3249^2 .

It is a de Polignac number, because none of the positive numbers 2k-10557937 is a prime.

It is a super-2 number, since 2×105579372 = 222940067391938, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10557896 and 10557905.

It is not an unprimeable number, because it can be changed into a prime (10557931) 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 5 ways as a sum of consecutive naturals, for example, 31068 + ... + 31405.

It is an arithmetic number, because the mean of its divisors is an integer number (1905457).

Almost surely, 210557937 is an apocalyptic number.

It is an amenable number.

10557937 is a deficient number, since it is larger than the sum of its proper divisors (874805).

10557937 is an equidigital number, since it uses as much as digits as its factorization.

10557937 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62499 (or 62486 counting only the distinct ones).

The product of its (nonzero) digits is 33075, while the sum is 37.

The square root of 10557937 is about 3249.2979241676. The cubic root of 10557937 is about 219.3779743538.

The spelling of 10557937 in words is "ten million, five hundred fifty-seven thousand, nine hundred thirty-seven".

Divisors: 1 13 169 62473 812149 10557937