Search a number
-
+
213457660 = 22513820991
BaseRepresentation
bin11001011100100…
…01101011111100
3112212122202212021
430232101223330
5414121121120
633103045524
75201234353
oct1456215374
9485582767
10213457660
11aa544999
125b5a08a4
13352b9910
14204c699a
1513b16aaa
hexcb91afc

213457660 has 24 divisors (see below), whose sum is σ = 482743296. Its totient is φ = 78815040.

The previous prime is 213457639. The next prime is 213457667. The reversal of 213457660 is 66754312.

It is a happy number.

It is a super-2 number, since 2×2134576602 = 91128345225351200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213457667) 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, 410236 + ... + 410755.

It is an arithmetic number, because the mean of its divisors is an integer number (20114304).

Almost surely, 2213457660 is an apocalyptic number.

213457660 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213457660 is an abundant number, since it is smaller than the sum of its proper divisors (269285636).

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

213457660 is a wasteful number, since it uses less digits than its factorization.

213457660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821013 (or 821011 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 34.

The square root of 213457660 is about 14610.1902793906. The cubic root of 213457660 is about 597.6366849400.

The spelling of 213457660 in words is "two hundred thirteen million, four hundred fifty-seven thousand, six hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 820991 1641982 3283964 4104955 8209910 10672883 16419820 21345766 42691532 53364415 106728830 213457660