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14141160 = 23325113571
BaseRepresentation
bin110101111100…
…011011101000
3222121110000200
4311330123220
512110004120
61223032200
7231124605
oct65743350
928543020
1014141160
117a89510
12489b660
132c11767
141c416ac
151394e90
hexd7c6e8

14141160 has 96 divisors (see below), whose sum is σ = 50150880. Its totient is φ = 3427200.

The previous prime is 14141137. The next prime is 14141167. The reversal of 14141160 is 6114141.

It is a super-2 number, since 2×141411602 = 399944812291200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (14141167) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2175 + ... + 5745.

It is an arithmetic number, because the mean of its divisors is an integer number (522405).

Almost surely, 214141160 is an apocalyptic number.

14141160 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 14141160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25075440).

14141160 is an abundant number, since it is smaller than the sum of its proper divisors (36009720).

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

14141160 is a wasteful number, since it uses less digits than its factorization.

14141160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3599 (or 3592 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 14141160 is about 3760.4733744570. The cubic root of 14141160 is about 241.8215564073.

The spelling of 14141160 in words is "fourteen million, one hundred forty-one thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 132 165 180 198 220 264 330 360 396 440 495 660 792 990 1320 1980 3571 3960 7142 10713 14284 17855 21426 28568 32139 35710 39281 42852 53565 64278 71420 78562 85704 107130 117843 128556 142840 157124 160695 196405 214260 235686 257112 314248 321390 353529 392810 428520 471372 589215 642780 707058 785620 942744 1178430 1285560 1414116 1571240 1767645 2356860 2828232 3535290 4713720 7070580 14141160