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14428720 = 245415383
BaseRepresentation
bin110111000010…
…101000110000
31000011001111001
4313002220300
512143204340
61233131344
7233433145
oct67025060
930131431
1014428720
118165569
1249b9b54
132cb2607
141cb83cc
15140029a
hexdc2a30

14428720 has 80 divisors (see below), whose sum is σ = 35435232. Its totient is φ = 5457920.

The previous prime is 14428717. The next prime is 14428721. The reversal of 14428720 is 2782441.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (14428721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 173799 + ... + 173881.

Almost surely, 214428720 is an apocalyptic number.

14428720 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 14428720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17717616).

14428720 is an abundant number, since it is smaller than the sum of its proper divisors (21006512).

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

14428720 is a wasteful number, since it uses less digits than its factorization.

14428720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 28.

The square root of 14428720 is about 3798.5154995077. The cubic root of 14428720 is about 243.4497139335.

The spelling of 14428720 in words is "fourteen million, four hundred twenty-eight thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 41 53 80 82 83 106 164 166 205 212 265 328 332 410 415 424 530 656 664 820 830 848 1060 1328 1640 1660 2120 2173 3280 3320 3403 4240 4346 4399 6640 6806 8692 8798 10865 13612 17015 17384 17596 21730 21995 27224 34030 34768 35192 43460 43990 54448 68060 70384 86920 87980 136120 173840 175960 180359 272240 351920 360718 721436 901795 1442872 1803590 2885744 3607180 7214360 14428720