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14148040 = 235577613
BaseRepresentation
bin110101111110…
…000111001000
3222121210110111
4311332013020
512110214130
61223124104
7231153634
oct65760710
928553414
1014148040
117a936a5
1248a3634
132c1492a
141c43dc4
15139702a
hexd7e1c8

14148040 has 32 divisors (see below), whose sum is σ = 31940280. Its totient is φ = 5640192.

The previous prime is 14148011. The next prime is 14148041. The reversal of 14148040 is 4084141.

It can be written as a sum of positive squares in 4 ways, for example, as 11168964 + 2979076 = 3342^2 + 1726^2 .

It is not an unprimeable number, because it can be changed into a prime (14148041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22774 + ... + 23386.

Almost surely, 214148040 is an apocalyptic number.

14148040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14148040 is an abundant number, since it is smaller than the sum of its proper divisors (17792240).

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

14148040 is a wasteful number, since it uses less digits than its factorization.

14148040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1201 (or 1197 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

The square root of 14148040 is about 3761.3880416676. The cubic root of 14148040 is about 241.8607673010.

The spelling of 14148040 in words is "fourteen million, one hundred forty-eight thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 577 613 1154 1226 2308 2452 2885 3065 4616 4904 5770 6130 11540 12260 23080 24520 353701 707402 1414804 1768505 2829608 3537010 7074020 14148040