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10983 = 37523
BaseRepresentation
bin10101011100111
3120001210
42223213
5322413
6122503
744010
oct25347
916053
1010983
118285
126433
134ccb
144007
1533c3
hex2ae7

10983 has 8 divisors (see below), whose sum is σ = 16768. Its totient is φ = 6264.

The previous prime is 10979. The next prime is 10987. The reversal of 10983 is 38901.

It is an interprime number because it is at equal distance from previous prime (10979) and next prime (10987).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10983 - 22 = 10979 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21), and also a Moran number because the ratio is a prime number: 523 = 10983 / (1 + 0 + 9 + 8 + 3).

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10987) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 241 + ... + 282.

It is an arithmetic number, because the mean of its divisors is an integer number (2096).

210983 is an apocalyptic number.

10983 is a deficient number, since it is larger than the sum of its proper divisors (5785).

10983 is an equidigital number, since it uses as much as digits as its factorization.

10983 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533.

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 10983 is about 104.7998091601. The cubic root of 10983 is about 22.2283381315.

The spelling of 10983 in words is "ten thousand, nine hundred eighty-three".

Divisors: 1 3 7 21 523 1569 3661 10983