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14140960 = 255312851
BaseRepresentation
bin110101111100…
…011000100000
3222121102202021
4311330120200
512110002320
61223031224
7231124201
oct65743040
928542667
1014140960
117a89349
12489b514
132c11642
141c415a8
151394daa
hexd7c620

14140960 has 48 divisors (see below), whose sum is σ = 34497792. Its totient is φ = 5472000.

The previous prime is 14140949. The next prime is 14140961. The reversal of 14140960 is 6904141.

It is not an unprimeable number, because it can be changed into a prime (14140961) 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 7 ways as a sum of consecutive naturals, for example, 3535 + ... + 6385.

It is an arithmetic number, because the mean of its divisors is an integer number (718704).

Almost surely, 214140960 is an apocalyptic number.

14140960 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 14140960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17248896).

14140960 is an abundant number, since it is smaller than the sum of its proper divisors (20356832).

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

14140960 is a wasteful number, since it uses less digits than its factorization.

14140960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2897 (or 2889 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 14140960 is about 3760.4467819662. The cubic root of 14140960 is about 241.8204163655.

The spelling of 14140960 in words is "fourteen million, one hundred forty thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 80 124 155 160 248 310 496 620 992 1240 2480 2851 4960 5702 11404 14255 22808 28510 45616 57020 88381 91232 114040 176762 228080 353524 441905 456160 707048 883810 1414096 1767620 2828192 3535240 7070480 14140960