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14006960 = 2451121447
BaseRepresentation
bin110101011011…
…101010110000
3222100121221022
4311123222300
512041210320
61220115012
7230025422
oct65335260
928317838
1014006960
1179a7700
124835a68
132b95656
141c08812
15136a325
hexd5bab0

14006960 has 60 divisors (see below), whose sum is σ = 35820624. Its totient is φ = 5089920.

The previous prime is 14006959. The next prime is 14006969. The reversal of 14006960 is 6960041.

It is not an unprimeable number, because it can be changed into a prime (14006969) 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 11 ways as a sum of consecutive naturals, for example, 8957 + ... + 10403.

Almost surely, 214006960 is an apocalyptic number.

14006960 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 14006960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17910312).

14006960 is an abundant number, since it is smaller than the sum of its proper divisors (21813664).

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

14006960 is a wasteful number, since it uses less digits than its factorization.

14006960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1482 (or 1465 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 14006960 is about 3742.5873403302. The cubic root of 14006960 is about 241.0541593012.

The spelling of 14006960 in words is "fourteen million, six thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 121 176 220 242 440 484 605 880 968 1210 1447 1936 2420 2894 4840 5788 7235 9680 11576 14470 15917 23152 28940 31834 57880 63668 79585 115760 127336 159170 175087 254672 318340 350174 636680 700348 875435 1273360 1400696 1750870 2801392 3501740 7003480 14006960