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10253380 = 2251753569
BaseRepresentation
bin100111000111…
…010001000100
3201021220222211
4213013101010
510111102010
61003433204
7153103144
oct47072104
921256884
1010253380
115873575
123525804
13217ccb7
14150c924
15d7808a
hex9c7444

10253380 has 48 divisors (see below), whose sum is σ = 23269680. Its totient is φ = 3780608.

The previous prime is 10253371. The next prime is 10253389. The reversal of 10253380 is 8335201.

It is an interprime number because it is at equal distance from previous prime (10253371) and next prime (10253389).

It can be written as a sum of positive squares in 8 ways, for example, as 576 + 10252804 = 24^2 + 3202^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10253389) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17736 + ... + 18304.

It is an arithmetic number, because the mean of its divisors is an integer number (484785).

Almost surely, 210253380 is an apocalyptic number.

10253380 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 10253380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11634840).

10253380 is an abundant number, since it is smaller than the sum of its proper divisors (13016300).

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

10253380 is a wasteful number, since it uses less digits than its factorization.

10253380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 10253380 is about 3202.0899425219. The cubic root of 10253380 is about 217.2479486521.

Adding to 10253380 its reverse (8335201), we get a palindrome (18588581).

The spelling of 10253380 in words is "ten million, two hundred fifty-three thousand, three hundred eighty".

Divisors: 1 2 4 5 10 17 20 34 53 68 85 106 170 212 265 340 530 569 901 1060 1138 1802 2276 2845 3604 4505 5690 9010 9673 11380 18020 19346 30157 38692 48365 60314 96730 120628 150785 193460 301570 512669 603140 1025338 2050676 2563345 5126690 10253380