Search a number
-
+
13036120 = 2353110513
BaseRepresentation
bin110001101110…
…101001011000
3220112022012021
4301232221120
511314123440
61143224224
7215543116
oct61565130
926468167
1013036120
1173a4259
124448074
1329157a6
141a34ab6
15122784a
hexc6ea58

13036120 has 32 divisors (see below), whose sum is σ = 30280320. Its totient is φ = 5045760.

The previous prime is 13036043. The next prime is 13036139. The reversal of 13036120 is 2163031.

13036120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 13036094 and 13036103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4017 + ... + 6496.

It is an arithmetic number, because the mean of its divisors is an integer number (946260).

Almost surely, 213036120 is an apocalyptic number.

13036120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13036120 is an abundant number, since it is smaller than the sum of its proper divisors (17244200).

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

13036120 is a wasteful number, since it uses less digits than its factorization.

13036120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10555 (or 10551 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 13036120 is about 3610.5567437724. The cubic root of 13036120 is about 235.3510371610.

Adding to 13036120 its reverse (2163031), we get a palindrome (15199151).

The spelling of 13036120 in words is "thirteen million, thirty-six thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 620 1240 10513 21026 42052 52565 84104 105130 210260 325903 420520 651806 1303612 1629515 2607224 3259030 6518060 13036120