Search a number
-
+
10595025 = 325272312
BaseRepresentation
bin101000011010…
…101011010001
3201221021122100
4220122223101
510203020100
61015031013
7156025200
oct50325321
921837570
1010595025
115a87221
12366b469
13226c65c
14159b237
15de4400
hexa1aad1

10595025 has 81 divisors (see below), whose sum is σ = 22810203. Its totient is φ = 4687200.

The previous prime is 10595023. The next prime is 10595041. The reversal of 10595025 is 52059501.

The square root of 10595025 is 3255.

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

It can be written as a sum of positive squares in only one way, i.e., 3814209 + 6780816 = 1953^2 + 2604^2 .

It is not a de Polignac number, because 10595025 - 21 = 10595023 is a prime.

It is a super-2 number, since 2×105950252 = 224509109501250, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10595025.

It is not an unprimeable number, because it can be changed into a prime (10595023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 341760 + ... + 341790.

Almost surely, 210595025 is an apocalyptic number.

10595025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10595025 is the 3255-th square number.

10595025 is the 1628-th centered octagonal number.

It is an amenable number.

10595025 is an abundant number, since it is smaller than the sum of its proper divisors (12215178).

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

10595025 is a wasteful number, since it uses less digits than its factorization.

10595025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 27.

The cubic root of 10595025 is about 219.6345516816.

It can be divided in two parts, 1059 and 5025, that added together give a square (6084 = 782).

The spelling of 10595025 in words is "ten million, five hundred ninety-five thousand, twenty-five".

Divisors: 1 3 5 7 9 15 21 25 31 35 45 49 63 75 93 105 147 155 175 217 225 245 279 315 441 465 525 651 735 775 961 1085 1225 1395 1519 1575 1953 2205 2325 2883 3255 3675 4557 4805 5425 6727 6975 7595 8649 9765 11025 13671 14415 16275 20181 22785 24025 33635 37975 43245 47089 48825 60543 68355 72075 100905 113925 141267 168175 216225 235445 302715 341775 423801 504525 706335 1177225 1513575 2119005 3531675 10595025