Search a number
-
+
13340560 = 2451031619
BaseRepresentation
bin110010111000…
…111110010000
3221002202210211
4302320332100
511403344220
61153533504
7221251522
oct62707620
927082724
1013340560
117591a62
124574294
1329c122c
141ab3a12
151287b5a
hexcb8f90

13340560 has 40 divisors (see below), whose sum is σ = 31337280. Its totient is φ = 5281152.

The previous prime is 13340543. The next prime is 13340567. The reversal of 13340560 is 6504331.

13340560 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 (40).

It is a super-2 number, since 2×133405602 = 355941082227200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13340567) 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, 7431 + ... + 9049.

It is an arithmetic number, because the mean of its divisors is an integer number (783432).

Almost surely, 213340560 is an apocalyptic number.

13340560 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 13340560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15668640).

13340560 is an abundant number, since it is smaller than the sum of its proper divisors (17996720).

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

13340560 is a wasteful number, since it uses less digits than its factorization.

13340560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1735 (or 1729 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

The square root of 13340560 is about 3652.4731347404. The cubic root of 13340560 is about 237.1690533656.

Adding to 13340560 its reverse (6504331), we get a palindrome (19844891).

The spelling of 13340560 in words is "thirteen million, three hundred forty thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 103 206 412 515 824 1030 1619 1648 2060 3238 4120 6476 8095 8240 12952 16190 25904 32380 64760 129520 166757 333514 667028 833785 1334056 1667570 2668112 3335140 6670280 13340560