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10290 = 23573
BaseRepresentation
bin10100000110010
3112010010
42200302
5312130
6115350
742000
oct24062
915103
1010290
117805
125b56
1348b7
143a70
1530b0
hex2832

10290 has 32 divisors (see below), whose sum is σ = 28800. Its totient is φ = 2352.

The previous prime is 10289. The next prime is 10301. The reversal of 10290 is 9201.

Adding to 10290 its reverse (9201), we get a palindrome (19491).

Subtracting from 10290 its reverse (9201), we obtain a square (1089 = 332).

It can be divided in two parts, 102 and 90, that multiplied together give a triangular number (9180 = T135).

It is a happy number.

It is a nialpdrome in base 7.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1467 + ... + 1473.

It is an arithmetic number, because the mean of its divisors is an integer number (900).

10290 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14400).

10290 is an abundant number, since it is smaller than the sum of its proper divisors (18510).

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

10290 is an equidigital number, since it uses as much as digits as its factorization.

10290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 10290 is about 101.4396372233. The cubic root of 10290 is about 21.7506275417.

The spelling of 10290 in words is "ten thousand, two hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 210 245 294 343 490 686 735 1029 1470 1715 2058 3430 5145 10290