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14075280 = 24325113173
BaseRepresentation
bin110101101100…
…010110010000
3222111002122200
4311230112100
512100402110
61221403200
7230431542
oct65542620
928432580
1014075280
117a43a6a
124869500
132bba78b
141c25692
1513806c0
hexd6c590

14075280 has 120 divisors (see below), whose sum is σ = 47963448. Its totient is φ = 3698688.

The previous prime is 14075273. The next prime is 14075291. The reversal of 14075280 is 8257041.

It can be written as a sum of positive squares in 4 ways, for example, as 767376 + 13307904 = 876^2 + 3648^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×140752802 = 396227014156800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81274 + ... + 81446.

Almost surely, 214075280 is an apocalyptic number.

14075280 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 14075280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23981724).

14075280 is an abundant number, since it is smaller than the sum of its proper divisors (33888168).

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

14075280 is a wasteful number, since it uses less digits than its factorization.

14075280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 14075280 is about 3751.7036130270. The cubic root of 14075280 is about 241.4454437416.

The spelling of 14075280 in words is "fourteen million, seventy-five thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 113 120 144 173 180 226 240 339 346 360 452 519 565 678 692 720 865 904 1017 1038 1130 1356 1384 1557 1695 1730 1808 2034 2076 2260 2595 2712 2768 3114 3390 3460 4068 4152 4520 5085 5190 5424 6228 6780 6920 7785 8136 8304 9040 10170 10380 12456 13560 13840 15570 16272 19549 20340 20760 24912 27120 31140 39098 40680 41520 58647 62280 78196 81360 97745 117294 124560 156392 175941 195490 234588 293235 312784 351882 390980 469176 586470 703764 781960 879705 938352 1172940 1407528 1563920 1759410 2345880 2815056 3518820 4691760 7037640 14075280