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14245040 = 2454143101
BaseRepresentation
bin110110010101…
…110010110000
3222210201112002
4312111302300
512121320130
61225153132
7232036505
oct66256260
928721462
1014245040
11804a567
12492b7a8
132c49b24
141c6b4ac
1513b5b45
hexd95cb0

14245040 has 80 divisors (see below), whose sum is σ = 35060256. Its totient is φ = 5376000.

The previous prime is 14245039. The next prime is 14245051. The reversal of 14245040 is 4054241.

14245040 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 an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140990 + ... + 141090.

Almost surely, 214245040 is an apocalyptic number.

14245040 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 14245040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17530128).

14245040 is an abundant number, since it is smaller than the sum of its proper divisors (20815216).

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

14245040 is a wasteful number, since it uses less digits than its factorization.

14245040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 14245040 is about 3774.2601924086. The cubic root of 14245040 is about 242.4122472727.

Adding to 14245040 its reverse (4054241), we get a palindrome (18299281).

The spelling of 14245040 in words is "fourteen million, two hundred forty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 41 43 80 82 86 101 164 172 202 205 215 328 344 404 410 430 505 656 688 808 820 860 1010 1616 1640 1720 1763 2020 3280 3440 3526 4040 4141 4343 7052 8080 8282 8686 8815 14104 16564 17372 17630 20705 21715 28208 33128 34744 35260 41410 43430 66256 69488 70520 82820 86860 141040 165640 173720 178063 331280 347440 356126 712252 890315 1424504 1780630 2849008 3561260 7122520 14245040