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213276 = 22372539
BaseRepresentation
bin110100000100011100
3101211120010
4310010130
523311101
64323220
71545540
oct640434
9354503
10213276
11136268
12a3510
13760cb
1457a20
15432d6
hex3411c

213276 has 24 divisors (see below), whose sum is σ = 568960. Its totient is φ = 60912.

The previous prime is 213263. The next prime is 213281. The reversal of 213276 is 672312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

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

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 213276.

It is an unprimeable number.

213276 is an untouchable number, because it is not equal to the sum of proper divisors of any 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, 1186 + ... + 1353.

2213276 is an apocalyptic number.

It is an amenable number.

213276 is an abundant number, since it is smaller than the sum of its proper divisors (355684).

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

213276 is a wasteful number, since it uses less digits than its factorization.

213276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2553 (or 2551 counting only the distinct ones).

The product of its digits is 504, while the sum is 21.

The square root of 213276 is about 461.8181460272. The cubic root of 213276 is about 59.7467100188.

Adding to 213276 its reverse (672312), we get a palindrome (885588).

The spelling of 213276 in words is "two hundred thirteen thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 2539 5078 7617 10156 15234 17773 30468 35546 53319 71092 106638 213276