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10380 = 2235173
BaseRepresentation
bin10100010001100
3112020110
42202030
5313010
6120020
742156
oct24214
915213
1010380
117887
126010
134956
143ad6
153120
hex288c

10380 has 24 divisors (see below), whose sum is σ = 29232. Its totient is φ = 2752.

The previous prime is 10369. The next prime is 10391. The reversal of 10380 is 8301.

10380 is nontrivially palindromic in base 11.

It is an interprime number because it is at equal distance from previous prime (10369) and next prime (10391).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a plaindrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 10380.

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 7 ways as a sum of consecutive naturals, for example, 27 + ... + 146.

It is an arithmetic number, because the mean of its divisors is an integer number (1218).

210380 is an apocalyptic number.

10380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10380 is an abundant number, since it is smaller than the sum of its proper divisors (18852).

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 (14616).

10380 is a wasteful number, since it uses less digits than its factorization.

10380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 10380 is about 101.8822850156. The cubic root of 10380 is about 21.8138564658.

Adding to 10380 its product of nonzero digits (24), we get a square (10404 = 1022).

Adding to 10380 its reverse (8301), we get a palindrome (18681).

The spelling of 10380 in words is "ten thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 173 346 519 692 865 1038 1730 2076 2595 3460 5190 10380