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14145320 = 235731031
BaseRepresentation
bin110101111101…
…011100101000
3222121122201202
4311331130220
512110122240
61223103332
7231143000
oct65753450
928548652
1014145320
117a91652
1248a1b48
132c13617
141c43000
151396315
hexd7d728

14145320 has 64 divisors (see below), whose sum is σ = 37152000. Its totient is φ = 4845120.

The previous prime is 14145311. The next prime is 14145347. The reversal of 14145320 is 2354141.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 14145292 and 14145301.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13205 + ... + 14235.

It is an arithmetic number, because the mean of its divisors is an integer number (580500).

Almost surely, 214145320 is an apocalyptic number.

14145320 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 14145320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18576000).

14145320 is an abundant number, since it is smaller than the sum of its proper divisors (23006680).

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

14145320 is a wasteful number, since it uses less digits than its factorization.

14145320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1063 (or 1045 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 14145320 is about 3761.0264556368. The cubic root of 14145320 is about 241.8452668395.

Adding to 14145320 its reverse (2354141), we get a palindrome (16499461).

The spelling of 14145320 in words is "fourteen million, one hundred forty-five thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 343 392 490 686 980 1031 1372 1715 1960 2062 2744 3430 4124 5155 6860 7217 8248 10310 13720 14434 20620 28868 36085 41240 50519 57736 72170 101038 144340 202076 252595 288680 353633 404152 505190 707266 1010380 1414532 1768165 2020760 2829064 3536330 7072660 14145320