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213612 = 22372543
BaseRepresentation
bin110100001001101100
3101212000120
4310021230
523313422
64324540
71546530
oct641154
9355016
10213612
11136543
12a3750
13762c9
1457bc0
154345c
hex3426c

213612 has 24 divisors (see below), whose sum is σ = 569856. Its totient is φ = 61008.

The previous prime is 213611. The next prime is 213613. The reversal of 213612 is 216312.

It is an interprime number because it is at equal distance from previous prime (213611) and next prime (213613).

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

It is a junction number, because it is equal to n+sod(n) for n = 213591 and 213600.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 213612.

It is not an unprimeable number, because it can be changed into a prime (213611) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1188 + ... + 1355.

It is an arithmetic number, because the mean of its divisors is an integer number (23744).

2213612 is an apocalyptic number.

It is an amenable number.

213612 is an abundant number, since it is smaller than the sum of its proper divisors (356244).

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

213612 is a wasteful number, since it uses less digits than its factorization.

213612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2557 (or 2555 counting only the distinct ones).

The product of its digits is 72, while the sum is 15.

The square root of 213612 is about 462.1817824190. The cubic root of 213612 is about 59.7780690116.

Adding to 213612 its reverse (216312), we get a palindrome (429924).

The spelling of 213612 in words is "two hundred thirteen thousand, six hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 2543 5086 7629 10172 15258 17801 30516 35602 53403 71204 106806 213612