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20976 = 2431923
BaseRepresentation
bin101000111110000
31001202220
411013300
51132401
6241040
7115104
oct50760
931686
1020976
111483a
1210180
139717
147904
156336
hex51f0

20976 has 40 divisors (see below), whose sum is σ = 59520. Its totient is φ = 6336.

The previous prime is 20963. The next prime is 20981. The reversal of 20976 is 67902.

20976 = T39 + T40 + ... + T56.

20976 is nontrivially palindromic in base 15.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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, 901 + ... + 923.

It is an arithmetic number, because the mean of its divisors is an integer number (1488).

220976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29760).

20976 is an abundant number, since it is smaller than the sum of its proper divisors (38544).

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

20976 is a wasteful number, since it uses less digits than its factorization.

20976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 20976 is about 144.8309359219. The cubic root of 20976 is about 27.5787275700.

The spelling of 20976 in words is "twenty thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 19 23 24 38 46 48 57 69 76 92 114 138 152 184 228 276 304 368 437 456 552 874 912 1104 1311 1748 2622 3496 5244 6992 10488 20976