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14289800 = 2352759173
BaseRepresentation
bin110110100000…
…101110001000
3222212222220212
4312200232020
512124233200
61230140252
7232314140
oct66405610
928788825
1014289800
118080158
124951688
132c64305
141c7d920
1513c4035
hexda0b88

14289800 has 96 divisors (see below), whose sum is σ = 38836800. Its totient is φ = 4788480.

The previous prime is 14289787. The next prime is 14289839. The reversal of 14289800 is 898241.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82514 + ... + 82686.

It is an arithmetic number, because the mean of its divisors is an integer number (404550).

Almost surely, 214289800 is an apocalyptic number.

14289800 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 14289800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19418400).

14289800 is an abundant number, since it is smaller than the sum of its proper divisors (24547000).

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

14289800 is a wasteful number, since it uses less digits than its factorization.

14289800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 32.

The square root of 14289800 is about 3780.1851806492. The cubic root of 14289800 is about 242.6658800576.

The spelling of 14289800 in words is "fourteen million, two hundred eighty-nine thousand, eight hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 59 70 100 118 140 173 175 200 236 280 295 346 350 413 472 590 692 700 826 865 1180 1211 1384 1400 1475 1652 1730 2065 2360 2422 2950 3304 3460 4130 4325 4844 5900 6055 6920 8260 8650 9688 10207 10325 11800 12110 16520 17300 20414 20650 24220 30275 34600 40828 41300 48440 51035 60550 71449 81656 82600 102070 121100 142898 204140 242200 255175 285796 357245 408280 510350 571592 714490 1020700 1428980 1786225 2041400 2857960 3572450 7144900 14289800