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213000 = 2335371
BaseRepresentation
bin110100000000001000
3101211011220
4310000020
523304000
64322040
71544664
oct640010
9354156
10213000
11136037
12a3320
1375c48
14578a4
15431a0
hex34008

213000 has 64 divisors (see below), whose sum is σ = 673920. Its totient is φ = 56000.

The previous prime is 212999. The next prime is 213019. The reversal of 213000 is 312.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 213000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2965 + ... + 3035.

It is an arithmetic number, because the mean of its divisors is an integer number (10530).

2213000 is an apocalyptic number.

213000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336960).

213000 is an abundant number, since it is smaller than the sum of its proper divisors (460920).

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

213000 is a wasteful number, since it uses less digits than its factorization.

213000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 6.

The square root of 213000 is about 461.5192303686. The cubic root of 213000 is about 59.7209261983.

Adding to 213000 its reverse (312), we get a palindrome (213312).

The spelling of 213000 in words is "two hundred thirteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 71 75 100 120 125 142 150 200 213 250 284 300 355 375 426 500 568 600 710 750 852 1000 1065 1420 1500 1704 1775 2130 2840 3000 3550 4260 5325 7100 8520 8875 10650 14200 17750 21300 26625 35500 42600 53250 71000 106500 213000