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210996 = 22325861
BaseRepresentation
bin110011100000110100
3101201102200
4303200310
523222441
64304500
71536102
oct634064
9351380
10210996
11134585
12a2130
1375066
1456c72
15427b6
hex33834

210996 has 18 divisors (see below), whose sum is σ = 533442. Its totient is φ = 70320.

The previous prime is 210967. The next prime is 211007. The reversal of 210996 is 699012.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 176400 + 34596 = 420^2 + 186^2 .

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

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 210996.

It is an unprimeable number.

210996 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, 2895 + ... + 2966.

2210996 is an apocalyptic number.

It is an amenable number.

210996 is an abundant number, since it is smaller than the sum of its proper divisors (322446).

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

210996 is a wasteful number, since it uses less digits than its factorization.

210996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5871 (or 5866 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 210996 is about 459.3430090902. The cubic root of 210996 is about 59.5330419305.

The spelling of 210996 in words is "two hundred ten thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 5861 11722 17583 23444 35166 52749 70332 105498 210996