Search a number
-
+
21003220 = 2257712113
BaseRepresentation
bin101000000011…
…1101111010100
31110112002000001
41100013233110
520334100340
62030101044
7343344610
oct120075724
943462001
1021003220
1110946037
12704a784
134474c54
142b0a340
151c9d29a
hex1407bd4

21003220 has 48 divisors (see below), whose sum is σ = 51141888. Its totient is φ = 7096320.

The previous prime is 21003179. The next prime is 21003223. The reversal of 21003220 is 2230012.

It is a super-2 number, since 2×210032202 = 882270500736800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 21003197 and 21003206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21003223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8884 + ... + 10996.

It is an arithmetic number, because the mean of its divisors is an integer number (1065456).

Almost surely, 221003220 is an apocalyptic number.

21003220 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 21003220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25570944).

21003220 is an abundant number, since it is smaller than the sum of its proper divisors (30138668).

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

21003220 is a wasteful number, since it uses less digits than its factorization.

21003220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2200 (or 2198 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 21003220 is about 4582.9270122925. The cubic root of 21003220 is about 275.9065180855.

Adding to 21003220 its reverse (2230012), we get a palindrome (23233232).

The spelling of 21003220 in words is "twenty-one million, three thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 71 140 142 284 355 497 710 994 1420 1988 2113 2485 4226 4970 8452 9940 10565 14791 21130 29582 42260 59164 73955 147910 150023 295820 300046 600092 750115 1050161 1500230 2100322 3000460 4200644 5250805 10501610 21003220