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966996 = 223226861
BaseRepresentation
bin11101100000101010100
31211010110200
43230011110
5221420441
632420500
711135142
oct3540524
91733420
10966996
11600578
123a7730
1327b1b4
141b2592
151417b6
hexec154

966996 has 18 divisors (see below), whose sum is σ = 2444442. Its totient is φ = 322320.

The previous prime is 966991. The next prime is 966997. The reversal of 966996 is 699669.

It can be written as a sum of positive squares in only one way, i.e., 562500 + 404496 = 750^2 + 636^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

966996 is a strobogrammatic number because it is the same when read upside-down.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (966991) by changing a digit.

966996 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 5 ways as a sum of consecutive naturals, for example, 13395 + ... + 13466.

2966996 is an apocalyptic number.

It is an amenable number.

966996 is an abundant number, since it is smaller than the sum of its proper divisors (1477446).

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

966996 is a wasteful number, since it uses less digits than its factorization.

966996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26871 (or 26866 counting only the distinct ones).

The product of its digits is 157464, while the sum is 45.

The square root of 966996 is about 983.3595476732. The cubic root of 966996 is about 98.8875368152.

The spelling of 966996 in words is "nine hundred sixty-six thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 26861 53722 80583 107444 161166 241749 322332 483498 966996