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14132560 = 24513107127
BaseRepresentation
bin110101111010…
…010101010000
3222121000020011
4311322111100
512104220220
61222524304
7231060541
oct65722520
928530204
1014132560
117a83002
124896694
132c0a880
141c3c4c8
15139265a
hexd7a550

14132560 has 80 divisors (see below), whose sum is σ = 35997696. Its totient is φ = 5128704.

The previous prime is 14132551. The next prime is 14132563. The reversal of 14132560 is 6523141.

14132560 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (14132563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111217 + ... + 111343.

Almost surely, 214132560 is an apocalyptic number.

14132560 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 14132560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17998848).

14132560 is an abundant number, since it is smaller than the sum of its proper divisors (21865136).

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

14132560 is a wasteful number, since it uses less digits than its factorization.

14132560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 14132560 is about 3759.3297274913. The cubic root of 14132560 is about 241.7725249013.

The spelling of 14132560 in words is "fourteen million, one hundred thirty-two thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 107 127 130 208 214 254 260 428 508 520 535 635 856 1016 1040 1070 1270 1391 1651 1712 2032 2140 2540 2782 3302 4280 5080 5564 6604 6955 8255 8560 10160 11128 13208 13589 13910 16510 22256 26416 27178 27820 33020 54356 55640 66040 67945 108712 111280 132080 135890 176657 217424 271780 353314 543560 706628 883285 1087120 1413256 1766570 2826512 3533140 7066280 14132560