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21382530 = 23513109503
BaseRepresentation
bin101000110010…
…0010110000010
31111020100022120
41101210112002
520433220110
62042145110
7346514511
oct121442602
944210276
1021382530
1111085014
1271b2196
1345787b0
142ba8678
151d25870
hex1464582

21382530 has 64 divisors (see below), whose sum is σ = 55883520. Its totient is φ = 5204736.

The previous prime is 21382511. The next prime is 21382531. The reversal of 21382530 is 3528312.

21382530 is a nontrivial binomial coefficient, being equal to C(6540, 2).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 21382530.

It is not an unprimeable number, because it can be changed into a prime (21382531) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42259 + ... + 42761.

It is an arithmetic number, because the mean of its divisors is an integer number (873180).

Almost surely, 221382530 is an apocalyptic number.

21382530 is the 6539-th triangular number and also the 3270-th hexagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21382530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27941760).

21382530 is an abundant number, since it is smaller than the sum of its proper divisors (34500990).

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

21382530 is a wasteful number, since it uses less digits than its factorization.

21382530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635.

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 21382530 is about 4624.1247820534. The cubic root of 21382530 is about 277.5575402148.

It can be divided in two parts, 21382 and 530, that added together give a palindrome (21912).

The spelling of 21382530 in words is "twenty-one million, three hundred eighty-two thousand, five hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 109 130 195 218 327 390 503 545 654 1006 1090 1417 1509 1635 2515 2834 3018 3270 4251 5030 6539 7085 7545 8502 13078 14170 15090 19617 21255 32695 39234 42510 54827 65390 98085 109654 164481 196170 274135 328962 548270 712751 822405 1425502 1644810 2138253 3563755 4276506 7127510 10691265 21382530