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13722984 = 23321117327
BaseRepresentation
bin110100010110…
…010101101000
3221211012101200
4310112111220
512003113414
61210044200
7224433462
oct64262550
927735350
1013722984
117823310
124719660
132ac6312
141b73132
151311109
hexd16568

13722984 has 48 divisors (see below), whose sum is σ = 40547520. Its totient is φ = 4158240.

The previous prime is 13722983. The next prime is 13723009. The reversal of 13722984 is 48922731.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (13722983) 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 11 ways as a sum of consecutive naturals, for example, 7872 + ... + 9455.

It is an arithmetic number, because the mean of its divisors is an integer number (844740).

Almost surely, 213722984 is an apocalyptic number.

It is an amenable number.

13722984 is an abundant number, since it is smaller than the sum of its proper divisors (26824536).

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

13722984 is a wasteful number, since it uses less digits than its factorization.

13722984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17350 (or 17343 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 13722984 is about 3704.4546157296. The cubic root of 13722984 is about 239.4139869509.

It can be divided in two parts, 13722 and 984, that added together give a triangular number (14706 = T171).

The spelling of 13722984 in words is "thirteen million, seven hundred twenty-two thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 17327 34654 51981 69308 103962 138616 155943 190597 207924 311886 381194 415848 571791 623772 762388 1143582 1247544 1524776 1715373 2287164 3430746 4574328 6861492 13722984