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21349845 = 3351121307
BaseRepresentation
bin101000101110…
…0010111010101
31111011200111000
41101130113111
520431143340
62041333513
7346320306
oct121342725
944150430
1021349845
1111062500
127197299
13456695a
142b9a7ad
151d1ad30
hex145c5d5

21349845 has 48 divisors (see below), whose sum is σ = 41751360. Its totient is φ = 10343520.

The previous prime is 21349837. The next prime is 21349847. The reversal of 21349845 is 54894312.

21349845 is a nontrivial binomial coefficient, being equal to C(6535, 2).

It is not a de Polignac number, because 21349845 - 23 = 21349837 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21349847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15682 + ... + 16988.

It is an arithmetic number, because the mean of its divisors is an integer number (869820).

Almost surely, 221349845 is an apocalyptic number.

21349845 is the 6534-th triangular number.

It is an amenable number.

21349845 is a deficient number, since it is larger than the sum of its proper divisors (20401515).

21349845 is a wasteful number, since it uses less digits than its factorization.

21349845 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1343 (or 1326 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 21349845 is about 4620.5892481371. The cubic root of 21349845 is about 277.4160447268.

It can be divided in two parts, 21 and 349845, that added together give a triangular number (349866 = T836).

The spelling of 21349845 in words is "twenty-one million, three hundred forty-nine thousand, eight hundred forty-five".

Divisors: 1 3 5 9 11 15 27 33 45 55 99 121 135 165 297 363 495 605 1089 1307 1485 1815 3267 3921 5445 6535 11763 14377 16335 19605 35289 43131 58815 71885 129393 158147 176445 215655 388179 474441 646965 790735 1423323 1940895 2372205 4269969 7116615 21349845