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13054104 = 2332759439
BaseRepresentation
bin110001110011…
…000010011000
3220120012212100
4301303002120
511320212404
61143443400
7215646420
oct61630230
926505770
1013054104
117406818
124456560
132920a2b
141a3b480
15122cd39
hexc73098

13054104 has 96 divisors (see below), whose sum is σ = 41184000. Its totient is φ = 3658176.

The previous prime is 13054103. The next prime is 13054127. The reversal of 13054104 is 40145031.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13054103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29517 + ... + 29955.

It is an arithmetic number, because the mean of its divisors is an integer number (429000).

Almost surely, 213054104 is an apocalyptic number.

13054104 is a gapful number since it is divisible by the number (14) 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 13054104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20592000).

13054104 is an abundant number, since it is smaller than the sum of its proper divisors (28129896).

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

13054104 is a wasteful number, since it uses less digits than its factorization.

13054104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 13054104 is about 3613.0463600679. The cubic root of 13054104 is about 235.4592137299.

Adding to 13054104 its reverse (40145031), we get a palindrome (53199135).

The spelling of 13054104 in words is "thirteen million, fifty-four thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 59 63 72 84 118 126 168 177 236 252 354 413 439 472 504 531 708 826 878 1062 1239 1317 1416 1652 1756 2124 2478 2634 3073 3304 3512 3717 3951 4248 4956 5268 6146 7434 7902 9219 9912 10536 12292 14868 15804 18438 24584 25901 27657 29736 31608 36876 51802 55314 73752 77703 103604 110628 155406 181307 207208 221256 233109 310812 362614 466218 543921 621624 725228 932436 1087842 1450456 1631763 1864872 2175684 3263526 4351368 6527052 13054104