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996966 = 23297571
BaseRepresentation
bin11110011011001100110
31212122120200
43303121212
5223400331
633211330
711321415
oct3633146
91778520
10996966
11621043
12400b46
1328ba29
141bd47c
1514a5e6
hexf3666

996966 has 24 divisors (see below), whose sum is σ = 2186184. Its totient is φ = 328320.

The previous prime is 996953. The next prime is 996967. The reversal of 996966 is 669699.

996966 = 1792 + 1802 + ... + 2052.

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

996966 is a strobogrammatic number because it is the same when read upside-down.

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 996966.

It is not an unprimeable number, because it can be changed into a prime (996967) by changing a digit.

996966 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 11 ways as a sum of consecutive naturals, for example, 1461 + ... + 2031.

It is an arithmetic number, because the mean of its divisors is an integer number (91091).

2996966 is an apocalyptic number.

996966 is an abundant number, since it is smaller than the sum of its proper divisors (1189218).

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

996966 is a wasteful number, since it uses less digits than its factorization.

996966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 673 counting only the distinct ones).

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

The square root of 996966 is about 998.4818476067. The cubic root of 996966 is about 99.8987642144.

The spelling of 996966 in words is "nine hundred ninety-six thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 9 18 97 194 291 571 582 873 1142 1713 1746 3426 5139 10278 55387 110774 166161 332322 498483 996966