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1213000 = 23531213
BaseRepresentation
bin100101000001001001000
32021121220221
410220021020
5302304000
641555424
713211305
oct4501110
92247827
101213000
11759388
124a5b74
13336169
142380ac
1518e61a
hex128248

1213000 has 32 divisors (see below), whose sum is σ = 2840760. Its totient is φ = 484800.

The previous prime is 1212989. The next prime is 1213007. The reversal of 1213000 is 3121.

It can be written as a sum of positive squares in 4 ways, for example, as 93636 + 1119364 = 306^2 + 1058^2 .

It is not an unprimeable number, because it can be changed into a prime (1213007) 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, 394 + ... + 1606.

21213000 is an apocalyptic number.

1213000 is a gapful number since it is divisible by the number (10) 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 1213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1420380).

1213000 is an abundant number, since it is smaller than the sum of its proper divisors (1627760).

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

1213000 is a wasteful number, since it uses less digits than its factorization.

1213000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1234 (or 1220 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

The square root of 1213000 is about 1101.3627921807. The cubic root of 1213000 is about 106.6482172952.

Adding to 1213000 its reverse (3121), we get a palindrome (1216121).

The spelling of 1213000 in words is "one million, two hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 1213 2426 4852 6065 9704 12130 24260 30325 48520 60650 121300 151625 242600 303250 606500 1213000