Search a number
-
+
10557357 = 3171371511
BaseRepresentation
bin101000010001…
…011110101101
3201212100222020
4220101132231
510200313412
61014140353
7155510316
oct50213655
921770866
1010557357
115a60998
1236516b9
132258475
14158b60d
15dd818c
hexa117ad

10557357 has 16 divisors (see below), whose sum is σ = 15023232. Its totient is φ = 6571520.

The previous prime is 10557319. The next prime is 10557359. The reversal of 10557357 is 75375501.

10557357 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10557357 - 28 = 10557101 is a prime.

It is a super-2 number, since 2×105573572 = 222915573650898, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10557359) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6232 + ... + 7742.

It is an arithmetic number, because the mean of its divisors is an integer number (938952).

Almost surely, 210557357 is an apocalyptic number.

10557357 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

10557357 is a deficient number, since it is larger than the sum of its proper divisors (4465875).

10557357 is a wasteful number, since it uses less digits than its factorization.

10557357 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1668.

The product of its (nonzero) digits is 18375, while the sum is 33.

The square root of 10557357 is about 3249.2086728925. The cubic root of 10557357 is about 219.3739571058.

The spelling of 10557357 in words is "ten million, five hundred fifty-seven thousand, three hundred fifty-seven".

Divisors: 1 3 17 51 137 411 1511 2329 4533 6987 25687 77061 207007 621021 3519119 10557357