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213006 = 23131271
BaseRepresentation
bin110100000000001110
3101211012010
4310000032
523304011
64322050
71545003
oct640016
9354163
10213006
11136042
12a3326
1375c51
14578aa
15431a6
hex3400e

213006 has 16 divisors (see below), whose sum is σ = 430848. Its totient is φ = 70200.

The previous prime is 212999. The next prime is 213019. The reversal of 213006 is 600312.

It is a plaindrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 212982 and 213000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 651 + ... + 921.

It is an arithmetic number, because the mean of its divisors is an integer number (26928).

2213006 is an apocalyptic number.

213006 is an abundant number, since it is smaller than the sum of its proper divisors (217842).

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

213006 is a wasteful number, since it uses less digits than its factorization.

213006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407.

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 213006 is about 461.5257305936. The cubic root of 213006 is about 59.7214869529.

Adding to 213006 its reverse (600312), we get a palindrome (813318).

The spelling of 213006 in words is "two hundred thirteen thousand, six".

Divisors: 1 2 3 6 131 262 271 393 542 786 813 1626 35501 71002 106503 213006