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14360040 = 23325113353
BaseRepresentation
bin110110110001…
…110111101000
31000000120021100
4312301313220
512134010130
61231441400
7233026002
oct66616750
930016240
1014360040
118118a02
124986260
132c8a286
141c9b372
1513d9c60
hexdb1de8

14360040 has 96 divisors (see below), whose sum is σ = 47216520. Its totient is φ = 3784704.

The previous prime is 14359967. The next prime is 14360041. The reversal of 14360040 is 4006341.

It can be written as a sum of positive squares in 4 ways, for example, as 6441444 + 7918596 = 2538^2 + 2814^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 14359995 and 14360022.

It is not an unprimeable number, because it can be changed into a prime (14360041) 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, 40504 + ... + 40856.

Almost surely, 214360040 is an apocalyptic number.

14360040 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 14360040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23608260).

14360040 is an abundant number, since it is smaller than the sum of its proper divisors (32856480).

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

14360040 is a wasteful number, since it uses less digits than its factorization.

14360040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 14360040 is about 3789.4643420937. The cubic root of 14360040 is about 243.0628298642.

Adding to 14360040 its reverse (4006341), we get a palindrome (18366381).

The spelling of 14360040 in words is "fourteen million, three hundred sixty thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 113 120 180 226 339 353 360 452 565 678 706 904 1017 1059 1130 1356 1412 1695 1765 2034 2118 2260 2712 2824 3177 3390 3530 4068 4236 4520 5085 5295 6354 6780 7060 8136 8472 10170 10590 12708 13560 14120 15885 20340 21180 25416 31770 39889 40680 42360 63540 79778 119667 127080 159556 199445 239334 319112 359001 398890 478668 598335 718002 797780 957336 1196670 1436004 1595560 1795005 2393340 2872008 3590010 4786680 7180020 14360040