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21013320 = 2335414271
BaseRepresentation
bin101000000101…
…0001101001000
31110112120212010
41100022031020
520334411240
62030215520
7343416216
oct120121510
943476763
1021013320
1110952689
1270545a0
134479723
142b0dcb6
151ca1280
hex140a348

21013320 has 64 divisors (see below), whose sum is σ = 64592640. Its totient is φ = 5465600.

The previous prime is 21013303. The next prime is 21013357. The reversal of 21013320 is 2331012.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 21013296 and 21013305.

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, 2785 + ... + 7055.

It is an arithmetic number, because the mean of its divisors is an integer number (1009260).

Almost surely, 221013320 is an apocalyptic number.

21013320 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 21013320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32296320).

21013320 is an abundant number, since it is smaller than the sum of its proper divisors (43579320).

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

21013320 is a wasteful number, since it uses less digits than its factorization.

21013320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4326 (or 4322 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 21013320 is about 4584.0287957211. The cubic root of 21013320 is about 275.9507368492.

Adding to 21013320 its reverse (2331012), we get a palindrome (23344332).

It can be divided in two parts, 210 and 13320, that added together give a triangular number (13530 = T164).

The spelling of 21013320 in words is "twenty-one million, thirteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 60 82 120 123 164 205 246 328 410 492 615 820 984 1230 1640 2460 4271 4920 8542 12813 17084 21355 25626 34168 42710 51252 64065 85420 102504 128130 170840 175111 256260 350222 512520 525333 700444 875555 1050666 1400888 1751110 2101332 2626665 3502220 4202664 5253330 7004440 10506660 21013320