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213672 = 23329307
BaseRepresentation
bin110100001010101000
3101212002210
4310022220
523314142
64325120
71546644
oct641250
9355083
10213672
11136598
12a37a0
1376344
1457c24
154349c
hex342a8

213672 has 32 divisors (see below), whose sum is σ = 554400. Its totient is φ = 68544.

The previous prime is 213659. The next prime is 213713. The reversal of 213672 is 276312.

It is a happy number.

213672 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable 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, 543 + ... + 849.

It is an arithmetic number, because the mean of its divisors is an integer number (17325).

2213672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277200).

213672 is an abundant number, since it is smaller than the sum of its proper divisors (340728).

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

213672 is a wasteful number, since it uses less digits than its factorization.

213672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 341 counting only the distinct ones).

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

The square root of 213672 is about 462.2466873867. The cubic root of 213672 is about 59.7836653707.

Adding to 213672 its reverse (276312), we get a palindrome (489984).

The spelling of 213672 in words is "two hundred thirteen thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 174 232 307 348 614 696 921 1228 1842 2456 3684 7368 8903 17806 26709 35612 53418 71224 106836 213672