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13260408 = 2337174643
BaseRepresentation
bin110010100101…
…011001111000
3220221200212020
4302211121320
511343313113
61152114440
7220466040
oct62453170
926850766
1013260408
117537817
124535a20
1329938c5
141a92720
15126e023
hexca5678

13260408 has 64 divisors (see below), whose sum is σ = 40124160. Its totient is φ = 3565056.

The previous prime is 13260389. The next prime is 13260413. The reversal of 13260408 is 80406231.

It is a happy number.

13260408 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

13260408 is strictly pandigital in base 8.

It is a congruent number.

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, 535 + ... + 5177.

It is an arithmetic number, because the mean of its divisors is an integer number (626940).

Almost surely, 213260408 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 13260408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20062080).

13260408 is an abundant number, since it is smaller than the sum of its proper divisors (26863752).

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

13260408 is a wasteful number, since it uses less digits than its factorization.

13260408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4676 (or 4672 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 13260408 is about 3641.4843127494. The cubic root of 13260408 is about 236.6931170155.

Adding to 13260408 its reverse (80406231), we get a palindrome (93666639).

The spelling of 13260408 in words is "thirteen million, two hundred sixty thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 51 56 68 84 102 119 136 168 204 238 357 408 476 714 952 1428 2856 4643 9286 13929 18572 27858 32501 37144 55716 65002 78931 97503 111432 130004 157862 195006 236793 260008 315724 390012 473586 552517 631448 780024 947172 1105034 1657551 1894344 2210068 3315102 4420136 6630204 13260408