Search a number
-
+
13280640 = 27356917
BaseRepresentation
bin110010101010…
…010110000000
3220222201121120
4302222112000
511344440030
61152352240
7220612032
oct62522600
926881546
1013280640
117550a3a
124545680
13299cb89
141a99c52
151275010
hexcaa580

13280640 has 64 divisors (see below), whose sum is σ = 42338160. Its totient is φ = 3540992.

The previous prime is 13280599. The next prime is 13280647. The reversal of 13280640 is 4608231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 13280640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13280647) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1539 + ... + 5378.

Almost surely, 213280640 is an apocalyptic number.

13280640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13280640 is an abundant number, since it is smaller than the sum of its proper divisors (29057520).

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

13280640 is an equidigital number, since it uses as much as digits as its factorization.

13280640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6939 (or 6927 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 13280640 is about 3644.2612420078. The cubic root of 13280640 is about 236.8134336182.

Adding to 13280640 its reverse (4608231), we get a palindrome (17888871).

It can be divided in two parts, 1 and 3280640, that added together give a triangular number (3280641 = T2561).

The spelling of 13280640 in words is "thirteen million, two hundred eighty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 6917 13834 20751 27668 34585 41502 55336 69170 83004 103755 110672 138340 166008 207510 221344 276680 332016 415020 442688 553360 664032 830040 885376 1106720 1328064 1660080 2213440 2656128 3320160 4426880 6640320 13280640