Search a number
-
+
13313760 = 253527737
BaseRepresentation
bin110010110010…
…011011100000
3221001102001020
4302302123200
511402020020
61153205440
7221110425
oct62623340
927042036
1013313760
117573909
124560880
1329b1c85
141aa7d4c
15127ec40
hexcb26e0

13313760 has 48 divisors (see below), whose sum is σ = 41939856. Its totient is φ = 3550208.

The previous prime is 13313753. The next prime is 13313761. The reversal of 13313760 is 6731331.

It is a tau number, because it is divible by the number of its divisors (48).

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 13313760.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13313761) 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, 13389 + ... + 14348.

It is an arithmetic number, because the mean of its divisors is an integer number (873747).

Almost surely, 213313760 is an apocalyptic number.

13313760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13313760 is an abundant number, since it is smaller than the sum of its proper divisors (28626096).

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

13313760 is a wasteful number, since it uses less digits than its factorization.

13313760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27755 (or 27747 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 24.

The square root of 13313760 is about 3648.8025433010. The cubic root of 13313760 is about 237.0101297100.

The spelling of 13313760 in words is "thirteen million, three hundred thirteen thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 27737 55474 83211 110948 138685 166422 221896 277370 332844 416055 443792 554740 665688 832110 887584 1109480 1331376 1664220 2218960 2662752 3328440 4437920 6656880 13313760