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13280020 = 2251323929
BaseRepresentation
bin110010101010…
…001100010100
3220222200202121
4302222030110
511344430040
61152345324
7220610155
oct62521424
926880677
1013280020
117550526
124545244
13299c800
141a9992c
151274c4a
hexcaa314

13280020 has 36 divisors (see below), whose sum is σ = 30205980. Its totient is φ = 4902144.

The previous prime is 13280017. The next prime is 13280021. The reversal of 13280020 is 2008231.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 5008644 + 8271376 = 2238^2 + 2876^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13279976 and 13280003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13280021) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1416 + ... + 5344.

It is an arithmetic number, because the mean of its divisors is an integer number (839055).

Almost surely, 213280020 is an apocalyptic number.

13280020 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 13280020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15102990).

13280020 is an abundant number, since it is smaller than the sum of its proper divisors (16925960).

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

13280020 is a wasteful number, since it uses less digits than its factorization.

13280020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3964 (or 3949 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 13280020 is about 3644.1761757632. The cubic root of 13280020 is about 236.8097483889.

Adding to 13280020 its reverse (2008231), we get a palindrome (15288251).

The spelling of 13280020 in words is "thirteen million, two hundred eighty thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 169 260 338 676 845 1690 3380 3929 7858 15716 19645 39290 51077 78580 102154 204308 255385 510770 664001 1021540 1328002 2656004 3320005 6640010 13280020