Search a number
-
+
21412260 = 22325472531
BaseRepresentation
bin101000110101…
…1100110100100
31111021212002200
41101223212210
520440143020
62042534500
7350000262
oct121534644
944255080
1021412260
11110a5391
127207430
13458919c
142bb5432
151d2e590
hex146b9a4

21412260 has 72 divisors (see below), whose sum is σ = 66358656. Its totient is φ = 5586240.

The previous prime is 21412219. The next prime is 21412267. The reversal of 21412260 is 6221412.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (21412267) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7195 + ... + 9725.

It is an arithmetic number, because the mean of its divisors is an integer number (921648).

Almost surely, 221412260 is an apocalyptic number.

21412260 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 21412260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33179328).

21412260 is an abundant number, since it is smaller than the sum of its proper divisors (44946396).

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

21412260 is a wasteful number, since it uses less digits than its factorization.

21412260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2593 (or 2588 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 21412260 is about 4627.3383278079. The cubic root of 21412260 is about 277.6861181432.

Adding to 21412260 its reverse (6221412), we get a palindrome (27633672).

The spelling of 21412260 in words is "twenty-one million, four hundred twelve thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 47 60 90 94 141 180 188 235 282 423 470 564 705 846 940 1410 1692 2115 2531 2820 4230 5062 7593 8460 10124 12655 15186 22779 25310 30372 37965 45558 50620 75930 91116 113895 118957 151860 227790 237914 356871 455580 475828 594785 713742 1070613 1189570 1427484 1784355 2141226 2379140 3568710 4282452 5353065 7137420 10706130 21412260