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14141680 = 245725253
BaseRepresentation
bin110101111100…
…100011110000
3222121110201221
4311330203300
512110013210
61223034424
7231126250
oct65744360
928543657
1014141680
117a89943
12489ba14
132c11a77
141c41960
1513951da
hexd7c8f0

14141680 has 40 divisors (see below), whose sum is σ = 37577952. Its totient is φ = 4848384.

The previous prime is 14141641. The next prime is 14141683. The reversal of 14141680 is 8614141.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×141416802 = 399974226444800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14141683) 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, 12067 + ... + 13186.

Almost surely, 214141680 is an apocalyptic number.

14141680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14141680 is an abundant number, since it is smaller than the sum of its proper divisors (23436272).

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

14141680 is a wasteful number, since it uses less digits than its factorization.

14141680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25273 (or 25267 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 14141680 is about 3760.5425140530. The cubic root of 14141680 is about 241.8245204656.

The spelling of 14141680 in words is "fourteen million, one hundred forty-one thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 25253 50506 101012 126265 176771 202024 252530 353542 404048 505060 707084 883855 1010120 1414168 1767710 2020240 2828336 3535420 7070840 14141680