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3135457 = 13218553
BaseRepresentation
bin1011111101011111100001
312220022001001
423331133201
51300313312
6151112001
735436163
oct13753741
95808031
103135457
111851796
121072601
1385a200
145b8933
1541e057
hex2fd7e1

3135457 has 6 divisors (see below), whose sum is σ = 3395382. Its totient is φ = 2894112.

The previous prime is 3135449. The next prime is 3135469. The reversal of 3135457 is 7545313.

It can be written as a sum of positive squares in 3 ways, for example, as 207936 + 2927521 = 456^2 + 1711^2 .

It is not a de Polignac number, because 3135457 - 23 = 3135449 is a prime.

It is a Duffinian number.

3135457 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (3135487) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9108 + ... + 9445.

It is an arithmetic number, because the mean of its divisors is an integer number (565897).

Almost surely, 23135457 is an apocalyptic number.

It is an amenable number.

3135457 is a deficient number, since it is larger than the sum of its proper divisors (259925).

3135457 is a wasteful number, since it uses less digits than its factorization.

3135457 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18579 (or 18566 counting only the distinct ones).

The product of its digits is 6300, while the sum is 28.

The square root of 3135457 is about 1770.7221690598. The cubic root of 3135457 is about 146.3637797713.

It can be divided in two parts, 3 and 135457, that added together give a triangular number (135460 = T520).

The spelling of 3135457 in words is "three million, one hundred thirty-five thousand, four hundred fifty-seven".

Divisors: 1 13 169 18553 241189 3135457