Search a number
-
+
213012320 = 2551331327
BaseRepresentation
bin11001011001001…
…00111101100000
3112211211010222012
430230210331200
5414012343240
633045332052
75164401113
oct1454447540
9484733865
10213012320
11aa270344
125b407028
1335191cc1
142040c57a
1513a79b65
hexcb24f60

213012320 has 24 divisors (see below), whose sum is σ = 503241984. Its totient is φ = 85204864.

The previous prime is 213012313. The next prime is 213012323. The reversal of 213012320 is 23210312.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 213012295 and 213012304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213012323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 665504 + ... + 665823.

It is an arithmetic number, because the mean of its divisors is an integer number (20968416).

Almost surely, 2213012320 is an apocalyptic number.

213012320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213012320 is an abundant number, since it is smaller than the sum of its proper divisors (290229664).

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

213012320 is a wasteful number, since it uses less digits than its factorization.

213012320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1331342 (or 1331334 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 213012320 is about 14594.9415894686. The cubic root of 213012320 is about 597.2207760300.

Adding to 213012320 its reverse (23210312), we get a palindrome (236222632).

The spelling of 213012320 in words is "two hundred thirteen million, twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 1331327 2662654 5325308 6656635 10650616 13313270 21301232 26626540 42602464 53253080 106506160 213012320