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13030120 = 235325753
BaseRepresentation
bin110001101101…
…001011101000
3220111222222001
4301231023220
511313430440
61143140344
7215516455
oct61551350
926458861
1013030120
11739a7a4
1244446b4
132912b3c
141a3282c
151225b9a
hexc6d2e8

13030120 has 16 divisors (see below), whose sum is σ = 29317860. Its totient is φ = 5212032.

The previous prime is 13030117. The next prime is 13030123. The reversal of 13030120 is 2103031.

13030120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13030117) and next prime (13030123).

It can be written as a sum of positive squares in 2 ways, for example, as 11142244 + 1887876 = 3338^2 + 1374^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 13030097 and 13030106.

It is not an unprimeable number, because it can be changed into a prime (13030123) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 162837 + ... + 162916.

Almost surely, 213030120 is an apocalyptic number.

13030120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13030120 is an abundant number, since it is smaller than the sum of its proper divisors (16287740).

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

13030120 is a wasteful number, since it uses less digits than its factorization.

13030120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325764 (or 325760 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 13030120 is about 3609.7257513556. The cubic root of 13030120 is about 235.3149240915.

Adding to 13030120 its reverse (2103031), we get a palindrome (15133151).

It can be divided in two parts, 130301 and 20, that added together give a 4-th power (130321 = 194).

The spelling of 13030120 in words is "thirteen million, thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 325753 651506 1303012 1628765 2606024 3257530 6515060 13030120