Search a number
-
+
213498 = 23229409
BaseRepresentation
bin110100000111111010
3101211212100
4310013322
523312443
64324230
71546305
oct640772
9354770
10213498
1113644a
12a3676
137623c
1457b3c
15433d3
hex341fa

213498 has 24 divisors (see below), whose sum is σ = 479700. Its totient is φ = 68544.

The previous prime is 213491. The next prime is 213523. The reversal of 213498 is 894312.

It can be written as a sum of positive squares in 2 ways, for example, as 199809 + 13689 = 447^2 + 117^2 .

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 213498.

It is not an unprimeable number, because it can be changed into a prime (213491) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 318 + ... + 726.

2213498 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213498, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239850).

213498 is an abundant number, since it is smaller than the sum of its proper divisors (266202).

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

213498 is a wasteful number, since it uses less digits than its factorization.

213498 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 443 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 213498 is about 462.0584378626. The cubic root of 213498 is about 59.7674330415.

The spelling of 213498 in words is "two hundred thirteen thousand, four hundred ninety-eight".

Divisors: 1 2 3 6 9 18 29 58 87 174 261 409 522 818 1227 2454 3681 7362 11861 23722 35583 71166 106749 213498