Search a number
-
+
13413504 = 273132687
BaseRepresentation
bin110011001010…
…110010000000
3221020110212110
4303022302000
511413213004
61155255320
7222004266
oct63126200
927213773
1013413504
117631845
1245aa540
132a184b0
141ad2436
15129e589
hexccac80

13413504 has 64 divisors (see below), whose sum is σ = 38384640. Its totient is φ = 4125696.

The previous prime is 13413503. The next prime is 13413511. The reversal of 13413504 is 40531431.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13413503) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3649 + ... + 6335.

It is an arithmetic number, because the mean of its divisors is an integer number (599760).

Almost surely, 213413504 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 13413504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19192320).

13413504 is an abundant number, since it is smaller than the sum of its proper divisors (24971136).

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

13413504 is a wasteful number, since it uses less digits than its factorization.

13413504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2717 (or 2705 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 13413504 is about 3662.4450849125. The cubic root of 13413504 is about 237.6005350916.

Adding to 13413504 its reverse (40531431), we get a palindrome (53944935).

The spelling of 13413504 in words is "thirteen million, four hundred thirteen thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 624 832 1248 1664 2496 2687 4992 5374 8061 10748 16122 21496 32244 34931 42992 64488 69862 85984 104793 128976 139724 171968 209586 257952 279448 343936 419172 515904 558896 838344 1031808 1117792 1676688 2235584 3353376 4471168 6706752 13413504