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14086980 = 22335191373
BaseRepresentation
bin110101101111…
…001101000100
3222111200201000
4311233031010
512101240410
61221533300
7230510625
oct65571504
928450630
1014086980
117a51836
124874230
132bc2bbb
141c29a4c
151383dc0
hexd6f344

14086980 has 96 divisors (see below), whose sum is σ = 46166400. Its totient is φ = 3556224.

The previous prime is 14086979. The next prime is 14086987. The reversal of 14086980 is 8968041.

It is a happy number.

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 (14086987) 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 31 ways as a sum of consecutive naturals, for example, 9574 + ... + 10946.

It is an arithmetic number, because the mean of its divisors is an integer number (480900).

Almost surely, 214086980 is an apocalyptic number.

14086980 is a gapful number since it is divisible by the number (10) 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 14086980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23083200).

14086980 is an abundant number, since it is smaller than the sum of its proper divisors (32079420).

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

14086980 is a wasteful number, since it uses less digits than its factorization.

14086980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1410 (or 1402 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 14086980 is about 3753.2625807423. The cubic root of 14086980 is about 241.5123252843.

The spelling of 14086980 in words is "fourteen million, eighty-six thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 27 30 36 38 45 54 57 60 76 90 95 108 114 135 171 180 190 228 270 285 342 380 513 540 570 684 855 1026 1140 1373 1710 2052 2565 2746 3420 4119 5130 5492 6865 8238 10260 12357 13730 16476 20595 24714 26087 27460 37071 41190 49428 52174 61785 74142 78261 82380 104348 123570 130435 148284 156522 185355 234783 247140 260870 313044 370710 391305 469566 521740 704349 741420 782610 939132 1173915 1408698 1565220 2347830 2817396 3521745 4695660 7043490 14086980