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10296 = 23321113
BaseRepresentation
bin10100000111000
3112010100
42200320
5312141
6115400
742006
oct24070
915110
1010296
117810
125b60
1348c0
143a76
1530b6
hex2838

10296 has 48 divisors (see below), whose sum is σ = 32760. Its totient is φ = 2880.

The previous prime is 10289. The next prime is 10301. The reversal of 10296 is 69201.

10296 = T13 + T14 + ... + T39.

10296 is a nontrivial binomial coefficient, being equal to C(144, 2).

It is a Smith number, since the sum of its digits (18) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 10296.

It is an unprimeable number.

10296 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 11 ways as a sum of consecutive naturals, for example, 786 + ... + 798.

210296 is an apocalyptic number.

10296 is the 143-rd triangular number and also the 72-nd hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16380).

10296 is an abundant number, since it is smaller than the sum of its proper divisors (22464).

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

10296 is a wasteful number, since it uses less digits than its factorization.

10296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 10296 is about 101.4692071517. The cubic root of 10296 is about 21.7548542475.

Adding to 10296 its product of nonzero digits (108), we get a square (10404 = 1022).

Adding to 10296 its reverse (69201), we get a palindrome (79497).

It can be divided in two parts, 1029 and 6, that added together give a triangular number (1035 = T45).

The spelling of 10296 in words is "ten thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 13 18 22 24 26 33 36 39 44 52 66 72 78 88 99 104 117 132 143 156 198 234 264 286 312 396 429 468 572 792 858 936 1144 1287 1716 2574 3432 5148 10296