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10302 = 2317101
BaseRepresentation
bin10100000111110
3112010120
42200332
5312202
6115410
742015
oct24076
915116
1010302
117816
125b66
1348c6
143a7c
1530bc
hex283e

10302 has 16 divisors (see below), whose sum is σ = 22032. Its totient is φ = 3200.

The previous prime is 10301. The next prime is 10303. The reversal of 10302 is 20301.

Adding to 10302 its reverse (20301), we get a palindrome (30603).

Subtracting 10302 from its reverse (20301), we obtain a palindrome (9999).

10302 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10301) and next prime (10303).

It is a super-2 number, since 2×103022 = 212262408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52 + ... + 152.

It is an arithmetic number, because the mean of its divisors is an integer number (1377).

210302 is an apocalyptic number.

It is a pronic number, being equal to 101×102.

10302 is an abundant number, since it is smaller than the sum of its proper divisors (11730).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11016).

10302 is a wasteful number, since it uses less digits than its factorization.

10302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123.

The product of its (nonzero) digits is 6, while the sum is 6.

The square root of 10302 is about 101.4987684654. The cubic root of 10302 is about 21.7590793115.

The spelling of 10302 in words is "ten thousand, three hundred two", and thus it is an iban number.

Divisors: 1 2 3 6 17 34 51 101 102 202 303 606 1717 3434 5151 10302