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14097040 = 245176213
BaseRepresentation
bin110101110001…
…101010010000
3222112012111121
4311301222100
512102101130
61222052024
7230552146
oct65615220
928465447
1014097040
117a59351
12487a014
132bc7659
141c2d596
151386d7a
hexd71a90

14097040 has 20 divisors (see below), whose sum is σ = 32775804. Its totient is φ = 5638784.

The previous prime is 14097007. The next prime is 14097043. The reversal of 14097040 is 4079041.

It can be written as a sum of positive squares in 2 ways, for example, as 3154176 + 10942864 = 1776^2 + 3308^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 14096996 and 14097014.

It is not an unprimeable number, because it can be changed into a prime (14097043) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 88027 + ... + 88186.

Almost surely, 214097040 is an apocalyptic number.

14097040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14097040 is an abundant number, since it is smaller than the sum of its proper divisors (18678764).

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

14097040 is a wasteful number, since it uses less digits than its factorization.

14097040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176226 (or 176220 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 14097040 is about 3754.6025089216. The cubic root of 14097040 is about 241.5698023746.

The spelling of 14097040 in words is "fourteen million, ninety-seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 176213 352426 704852 881065 1409704 1762130 2819408 3524260 7048520 14097040