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10260 = 2233519
BaseRepresentation
bin10100000010100
3112002000
42200110
5312020
6115300
741625
oct24024
915060
1010260
117788
125b30
134893
143a4c
153090
hex2814

10260 has 48 divisors (see below), whose sum is σ = 33600. Its totient is φ = 2592.

The previous prime is 10259. The next prime is 10267. The reversal of 10260 is 6201.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a plaindrome in base 11.

It is a zygodrome in base 11.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 10260.

It is not an unprimeable number, because it can be changed into a prime (10267) 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, 531 + ... + 549.

It is an arithmetic number, because the mean of its divisors is an integer number (700).

210260 is an apocalyptic number.

10260 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 10260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16800).

10260 is an abundant number, since it is smaller than the sum of its proper divisors (23340).

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

10260 is a wasteful number, since it uses less digits than its factorization.

10260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 10260 is about 101.2916580968. The cubic root of 10260 is about 21.7294693303.

Adding to 10260 its reverse (6201), we get a palindrome (16461).

The spelling of 10260 in words is "ten thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 27 30 36 38 45 54 57 60 76 90 95 108 114 135 171 180 190 228 270 285 342 380 513 540 570 684 855 1026 1140 1710 2052 2565 3420 5130 10260