Search a number
-
+
10287564 = 2237122471
BaseRepresentation
bin100111001111…
…100111001100
3201100122212220
4213033213030
510113200224
61004255340
7153304620
oct47174714
921318786
1010287564
115897221
123541550
132192721
14151b180
15d83279
hex9cf9cc

10287564 has 24 divisors (see below), whose sum is σ = 27433728. Its totient is φ = 2939280.

The previous prime is 10287559. The next prime is 10287581. The reversal of 10287564 is 46578201.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61152 + ... + 61319.

It is an arithmetic number, because the mean of its divisors is an integer number (1143072).

Almost surely, 210287564 is an apocalyptic number.

10287564 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10287564 is an abundant number, since it is smaller than the sum of its proper divisors (17146164).

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

10287564 is a wasteful number, since it uses less digits than its factorization.

10287564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122485 (or 122483 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 10287564 is about 3207.4232648654. The cubic root of 10287564 is about 217.4891103017.

The spelling of 10287564 in words is "ten million, two hundred eighty-seven thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 122471 244942 367413 489884 734826 857297 1469652 1714594 2571891 3429188 5143782 10287564