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966980 = 22576907
BaseRepresentation
bin11101100000101000100
31211010110002
43230011010
5221420410
632420432
711135120
oct3540504
91733402
10966980
11600563
123a7718
1327b1a1
141b2580
151417a5
hexec144

966980 has 24 divisors (see below), whose sum is σ = 2321088. Its totient is φ = 331488.

The previous prime is 966971. The next prime is 966991. The reversal of 966980 is 89669.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

966980 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3314 + ... + 3593.

It is an arithmetic number, because the mean of its divisors is an integer number (96712).

2966980 is an apocalyptic number.

It is an amenable number.

966980 is an abundant number, since it is smaller than the sum of its proper divisors (1354108).

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

966980 is a wasteful number, since it uses less digits than its factorization.

966980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6923 (or 6921 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 38.

The square root of 966980 is about 983.3514122632. The cubic root of 966980 is about 98.8869914115.

The spelling of 966980 in words is "nine hundred sixty-six thousand, nine hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 6907 13814 27628 34535 48349 69070 96698 138140 193396 241745 483490 966980