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21308310 = 23251719733
BaseRepresentation
bin101000101001…
…0001110010110
31111002120111200
41101102032112
520423331220
62040413330
7346055232
oct121221626
944076450
1021308310
1111034281
127177246
134550a8a
142b895c2
151d0d890
hex1452396

21308310 has 96 divisors (see below), whose sum is σ = 61832160. Its totient is φ = 5059584.

The previous prime is 21308303. The next prime is 21308311. The reversal of 21308310 is 1380312.

21308310 = T493 + T494 + ... + T627.

It is a super-2 number, since 2×213083102 = 908088150112200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21308311) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 28704 + ... + 29436.

It is an arithmetic number, because the mean of its divisors is an integer number (644085).

Almost surely, 221308310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21308310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30916080).

21308310 is an abundant number, since it is smaller than the sum of its proper divisors (40523850).

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

21308310 is a wasteful number, since it uses less digits than its factorization.

21308310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 21308310 is about 4616.0925034059. The cubic root of 21308310 is about 277.2360284999.

Adding to 21308310 its reverse (1380312), we get a palindrome (22688622).

It can be divided in two parts, 2130 and 8310, that added together give a triangular number (10440 = T144).

The spelling of 21308310 in words is "twenty-one million, three hundred eight thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 19 30 34 38 45 51 57 85 90 95 102 114 153 170 171 190 255 285 306 323 342 510 570 646 733 765 855 969 1466 1530 1615 1710 1938 2199 2907 3230 3665 4398 4845 5814 6597 7330 9690 10995 12461 13194 13927 14535 21990 24922 27854 29070 32985 37383 41781 62305 65970 69635 74766 83562 112149 124610 125343 139270 186915 208905 224298 236759 250686 373830 417810 473518 560745 626715 710277 1121490 1183795 1253430 1420554 2130831 2367590 3551385 4261662 7102770 10654155 21308310