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213140 = 22510657
BaseRepresentation
bin110100000010010100
3101211101002
4310002110
523310030
64322432
71545254
oct640224
9354332
10213140
11136154
12a3418
1376025
1457964
1543245
hex34094

213140 has 12 divisors (see below), whose sum is σ = 447636. Its totient is φ = 85248.

The previous prime is 213139. The next prime is 213149. The reversal of 213140 is 41312.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 38416 + 174724 = 196^2 + 418^2 .

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 213140.

It is not an unprimeable number, because it can be changed into a prime (213149) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5309 + ... + 5348.

It is an arithmetic number, because the mean of its divisors is an integer number (37303).

2213140 is an apocalyptic number.

213140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213140 is an abundant number, since it is smaller than the sum of its proper divisors (234496).

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

213140 is a wasteful number, since it uses less digits than its factorization.

213140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10666 (or 10664 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 213140 is about 461.6708784405. The cubic root of 213140 is about 59.7340077296.

Adding to 213140 its reverse (41312), we get a palindrome (254452).

It can be divided in two parts, 213 and 140, that added together give a palindrome (353).

The spelling of 213140 in words is "two hundred thirteen thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 10657 21314 42628 53285 106570 213140