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14294840 = 2357192687
BaseRepresentation
bin110110100001…
…111100111000
3222220020211112
4312201330320
512124413330
61230215452
7232334630
oct66417470
928806745
1014294840
118083a1a
124954588
132c666b1
141c816c0
1513c5795
hexda1f38

14294840 has 64 divisors (see below), whose sum is σ = 38707200. Its totient is φ = 4641408.

The previous prime is 14294831. The next prime is 14294857. The reversal of 14294840 is 4849241.

It is a junction number, because it is equal to n+sod(n) for n = 14294797 and 14294806.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3977 + ... + 6663.

It is an arithmetic number, because the mean of its divisors is an integer number (604800).

Almost surely, 214294840 is an apocalyptic number.

14294840 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 14294840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19353600).

14294840 is an abundant number, since it is smaller than the sum of its proper divisors (24412360).

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

14294840 is a wasteful number, since it uses less digits than its factorization.

14294840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2724 (or 2720 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 14294840 is about 3780.8517558878. The cubic root of 14294840 is about 242.6944060522.

The spelling of 14294840 in words is "fourteen million, two hundred ninety-four thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 56 70 76 95 133 140 152 190 266 280 380 532 665 760 1064 1330 2660 2687 5320 5374 10748 13435 18809 21496 26870 37618 51053 53740 75236 94045 102106 107480 150472 188090 204212 255265 357371 376180 408424 510530 714742 752360 1021060 1429484 1786855 2042120 2858968 3573710 7147420 14294840