[go: up one dir, main page]

Search a number
-
+
10536564 = 22319371249
BaseRepresentation
bin101000001100…
…011001110100
3201211022110010
4220030121310
510144132224
61013500220
7155362563
oct50143164
921738403
1010536564
115a47305
123641670
13224bb6c
141583bda
15dd1e29
hexa0c674

10536564 has 48 divisors (see below), whose sum is σ = 26600000. Its totient is φ = 3234816.

The previous prime is 10536551. The next prime is 10536577. The reversal of 10536564 is 46563501.

It is an interprime number because it is at equal distance from previous prime (10536551) and next prime (10536577).

It is a super-2 number, since 2×105365642 = 222038361852192, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7812 + ... + 9060.

Almost surely, 210536564 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10536564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13300000).

10536564 is an abundant number, since it is smaller than the sum of its proper divisors (16063436).

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

10536564 is a wasteful number, since it uses less digits than its factorization.

10536564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1312 (or 1310 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 10536564 is about 3246.0073937069. The cubic root of 10536564 is about 219.2298414716.

The spelling of 10536564 in words is "ten million, five hundred thirty-six thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 12 19 37 38 57 74 76 111 114 148 222 228 444 703 1249 1406 2109 2498 2812 3747 4218 4996 7494 8436 14988 23731 46213 47462 71193 92426 94924 138639 142386 184852 277278 284772 554556 878047 1756094 2634141 3512188 5268282 10536564