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13130424 = 233423881
BaseRepresentation
bin110010000101…
…101010111000
3220201002120000
4302011222320
511330133144
61145233000
7216415056
oct62055270
926632500
1013130424
11745909a
124492760
1329496a8
141a5b1d6
151245769
hexc85ab8

13130424 has 80 divisors (see below), whose sum is σ = 38419920. Its totient is φ = 4181760.

The previous prime is 13130419. The next prime is 13130441. The reversal of 13130424 is 42403131.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13130397 and 13130406.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14464 + ... + 15344.

It is an arithmetic number, because the mean of its divisors is an integer number (480249).

Almost surely, 213130424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13130424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19209960).

13130424 is an abundant number, since it is smaller than the sum of its proper divisors (25289496).

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

13130424 is a wasteful number, since it uses less digits than its factorization.

13130424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 13130424 is about 3623.5926923428. The cubic root of 13130424 is about 235.9171882197.

Adding to 13130424 its reverse (42403131), we get a palindrome (55533555).

It can be divided in two parts, 131304 and 24, that added together give a triangular number (131328 = T512).

The spelling of 13130424 in words is "thirteen million, one hundred thirty thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 81 92 108 138 162 184 207 216 276 324 414 552 621 648 828 881 1242 1656 1762 1863 2484 2643 3524 3726 4968 5286 7048 7452 7929 10572 14904 15858 20263 21144 23787 31716 40526 47574 60789 63432 71361 81052 95148 121578 142722 162104 182367 190296 243156 285444 364734 486312 547101 570888 729468 1094202 1458936 1641303 2188404 3282606 4376808 6565212 13130424