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10536516 = 22325412
BaseRepresentation
bin101000001100…
…011001000100
3201211022101100
4220030121010
510144132031
61013500100
7155362464
oct50143104
921738340
1010536516
115a47271
123641630
13224bb33
141583ba4
15dd1de6
hexa0c644

10536516 has 27 divisors (see below), whose sum is σ = 26683293. Its totient is φ = 3505680.

The previous prime is 10536503. The next prime is 10536517. The reversal of 10536516 is 61563501.

It is a happy number.

The square root of 10536516 is 3246.

It is a perfect power (a square), and thus also a powerful number.

10536516 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 651 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4186116 + 6350400 = 2046^2 + 2520^2 .

It is a super-2 number, since 2×105365162 = 222036338836512, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10536516.

It is not an unprimeable number, because it can be changed into a prime (10536517) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 19206 + ... + 19746.

Almost surely, 210536516 is an apocalyptic number.

10536516 is the 3246-th square number.

It is an amenable number.

10536516 is an abundant number, since it is smaller than the sum of its proper divisors (16146777).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10536516 is an equidigital number, since it uses as much as digits as its factorization.

10536516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1092 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The cubic root of 10536516 is about 219.2295085658.

It can be divided in two parts, 1053 and 6516, that added together give a square (7569 = 872).

The spelling of 10536516 in words is "ten million, five hundred thirty-six thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 541 1082 1623 2164 3246 4869 6492 9738 19476 292681 585362 878043 1170724 1756086 2634129 3512172 5268258 10536516