Search a number
-
+
10315300 = 2252293557
BaseRepresentation
bin100111010110…
…011000100100
3201102001221011
4213112120210
510120042200
61005032004
7153451522
oct47263044
921361834
1010315300
115906046
123555604
1321a2238
141527312
15d8b5ba
hex9d6624

10315300 has 36 divisors (see below), whose sum is σ = 23162580. Its totient is φ = 3982720.

The previous prime is 10315297. The next prime is 10315303. The reversal of 10315300 is 351301.

It is an interprime number because it is at equal distance from previous prime (10315297) and next prime (10315303).

It can be written as a sum of positive squares in 6 ways, for example, as 1170724 + 9144576 = 1082^2 + 3024^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10315303) 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 11 ways as a sum of consecutive naturals, for example, 1122 + ... + 4678.

It is an arithmetic number, because the mean of its divisors is an integer number (643405).

Almost surely, 210315300 is an apocalyptic number.

10315300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10315300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11581290).

10315300 is an abundant number, since it is smaller than the sum of its proper divisors (12847280).

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

10315300 is a wasteful number, since it uses less digits than its factorization.

10315300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3600 (or 3593 counting only the distinct ones).

The product of its (nonzero) digits is 45, while the sum is 13.

The square root of 10315300 is about 3211.7440744866. The cubic root of 10315300 is about 217.6843902506.

Adding to 10315300 its reverse (351301), we get a palindrome (10666601).

The spelling of 10315300 in words is "ten million, three hundred fifteen thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 1450 2900 3557 7114 14228 17785 35570 71140 88925 103153 177850 206306 355700 412612 515765 1031530 2063060 2578825 5157650 10315300