Search a number
-
+
21240300 = 22352101701
BaseRepresentation
bin101000100000…
…1100111101100
31110222010012210
41101001213230
520414142200
62035130420
7345353034
oct121014754
943863183
1021240300
1110a98174
127143a10
134528b33
142b6c8c4
151ce8650
hex14419ec

21240300 has 72 divisors (see below), whose sum is σ = 62152272. Its totient is φ = 5600000.

The previous prime is 21240283. The next prime is 21240311. The reversal of 21240300 is 304212.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29950 + ... + 30650.

It is an arithmetic number, because the mean of its divisors is an integer number (863226).

Almost surely, 221240300 is an apocalyptic number.

21240300 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 21240300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31076136).

21240300 is an abundant number, since it is smaller than the sum of its proper divisors (40911972).

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

21240300 is a wasteful number, since it uses less digits than its factorization.

21240300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 21240300 is about 4608.7199958340. The cubic root of 21240300 is about 276.9407615724.

Adding to 21240300 its reverse (304212), we get a palindrome (21544512).

The spelling of 21240300 in words is "twenty-one million, two hundred forty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 101 150 202 300 303 404 505 606 701 1010 1212 1402 1515 2020 2103 2525 2804 3030 3505 4206 5050 6060 7010 7575 8412 10100 10515 14020 15150 17525 21030 30300 35050 42060 52575 70100 70801 105150 141602 210300 212403 283204 354005 424806 708010 849612 1062015 1416020 1770025 2124030 3540050 4248060 5310075 7080100 10620150 21240300