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10976 = 2573
BaseRepresentation
bin10101011100000
3120001112
42223200
5322401
6122452
744000
oct25340
916045
1010976
118279
126428
134cc4
144000
1533bb
hex2ae0

10976 has 24 divisors (see below), whose sum is σ = 25200. Its totient is φ = 4704.

The previous prime is 10973. The next prime is 10979. The reversal of 10976 is 67901.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

10976 is nontrivially palindromic in base 13.

It is an interprime number because it is at equal distance from previous prime (10973) and next prime (10979).

It is a plaindrome in base 15.

It is a nialpdrome in base 7 and base 14.

It is a zygodrome in base 7 and base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10973) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1565 + ... + 1571.

It is an arithmetic number, because the mean of its divisors is an integer number (1050).

210976 is an apocalyptic number.

10976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12600).

10976 is an abundant number, since it is smaller than the sum of its proper divisors (14224).

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

10976 is an frugal number, since it uses more digits than its factorization.

10976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31 (or 9 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 23.

The square root of 10976 is about 104.7664068297. The cubic root of 10976 is about 22.2236147276.

The spelling of 10976 in words is "ten thousand, nine hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 343 392 686 784 1372 1568 2744 5488 10976