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13114020 = 22351271721
BaseRepresentation
bin110010000001…
…101010100100
3220200021001110
4302001222210
511324122040
61145025020
7216316203
oct62015244
926607043
1013114020
117447837
124485170
13294209a
141a5523a
151240980
hexc81aa4

13114020 has 48 divisors (see below), whose sum is σ = 37029888. Its totient is φ = 3467520.

The previous prime is 13113983. The next prime is 13114033. The reversal of 13114020 is 2041131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 13113987 and 13114005.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6760 + ... + 8480.

It is an arithmetic number, because the mean of its divisors is an integer number (771456).

Almost surely, 213114020 is an apocalyptic number.

13114020 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 13114020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18514944).

13114020 is an abundant number, since it is smaller than the sum of its proper divisors (23915868).

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

13114020 is a wasteful number, since it uses less digits than its factorization.

13114020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1860 (or 1858 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 13114020 is about 3621.3284855147. The cubic root of 13114020 is about 235.8189025314.

Adding to 13114020 its reverse (2041131), we get a palindrome (15155151).

The spelling of 13114020 in words is "thirteen million, one hundred fourteen thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 127 254 381 508 635 762 1270 1524 1721 1905 2540 3442 3810 5163 6884 7620 8605 10326 17210 20652 25815 34420 51630 103260 218567 437134 655701 874268 1092835 1311402 2185670 2622804 3278505 4371340 6557010 13114020