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14115440 = 2451797107
BaseRepresentation
bin110101110110…
…001001110000
3222120010202002
4311312021300
512103143230
61222313132
7230656613
oct65661160
928503662
1014115440
117a71159
1248887a8
132c02b41
141c3617a
15138c545
hexd76270

14115440 has 80 divisors (see below), whose sum is σ = 35435232. Its totient is φ = 5210112.

The previous prime is 14115433. The next prime is 14115443. The reversal of 14115440 is 4451141.

14115440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14115443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131867 + ... + 131973.

Almost surely, 214115440 is an apocalyptic number.

14115440 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 14115440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17717616).

14115440 is an abundant number, since it is smaller than the sum of its proper divisors (21319792).

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

14115440 is a wasteful number, since it uses less digits than its factorization.

14115440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 14115440 is about 3757.0520358387. The cubic root of 14115440 is about 241.6748587526.

Adding to 14115440 its reverse (4451141), we get a palindrome (18566581).

The spelling of 14115440 in words is "fourteen million, one hundred fifteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 97 107 136 170 194 214 272 340 388 428 485 535 680 776 856 970 1070 1360 1552 1649 1712 1819 1940 2140 3298 3638 3880 4280 6596 7276 7760 8245 8560 9095 10379 13192 14552 16490 18190 20758 26384 29104 32980 36380 41516 51895 65960 72760 83032 103790 131920 145520 166064 176443 207580 352886 415160 705772 830320 882215 1411544 1764430 2823088 3528860 7057720 14115440