Search a number
-
+
10389568 = 26723313
BaseRepresentation
bin100111101000…
…100001000000
3201112211210211
4213220201000
510124431233
61010403504
7154211200
oct47504100
921484724
1010389568
115956922
123590594
1321c9c97
141546400
15da35cd
hex9e8840

10389568 has 42 divisors (see below), whose sum is σ = 23990046. Its totient is φ = 4451328.

The previous prime is 10389551. The next prime is 10389607. The reversal of 10389568 is 86598301.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 10188864 + 200704 = 3192^2 + 448^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10389568.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1480 + ... + 4792.

Almost surely, 210389568 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 10389568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11995023).

10389568 is an abundant number, since it is smaller than the sum of its proper divisors (13600478).

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

10389568 is an equidigital number, since it uses as much as digits as its factorization.

10389568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3339 (or 3322 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 40.

The square root of 10389568 is about 3223.2852805794. The cubic root of 10389568 is about 218.2055687950.

The spelling of 10389568 in words is "ten million, three hundred eighty-nine thousand, five hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 784 1568 3136 3313 6626 13252 23191 26504 46382 53008 92764 106016 162337 185528 212032 324674 371056 649348 742112 1298696 1484224 2597392 5194784 10389568