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13241504 = 2517101241
BaseRepresentation
bin110010100000…
…110010100000
3220220201221002
4302200302200
511342212004
61151451132
7220356653
oct62406240
926821832
1013241504
1175245a1
124526aa8
132988113
141a8989a
15126861e
hexca0ca0

13241504 has 48 divisors (see below), whose sum is σ = 27991656. Its totient is φ = 6144000.

The previous prime is 13241479. The next prime is 13241513. The reversal of 13241504 is 40514231.

It can be written as a sum of positive squares in 4 ways, for example, as 12816400 + 425104 = 3580^2 + 652^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54824 + ... + 55064.

Almost surely, 213241504 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 13241504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13995828).

13241504 is an abundant number, since it is smaller than the sum of its proper divisors (14750152).

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

13241504 is a wasteful number, since it uses less digits than its factorization.

13241504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 13241504 is about 3638.8877421542. The cubic root of 13241504 is about 236.5805871793.

Adding to 13241504 its reverse (40514231), we get a palindrome (53755735).

The spelling of 13241504 in words is "thirteen million, two hundred forty-one thousand, five hundred four".

Divisors: 1 2 4 8 16 17 32 34 68 101 136 202 241 272 404 482 544 808 964 1616 1717 1928 3232 3434 3856 4097 6868 7712 8194 13736 16388 24341 27472 32776 48682 54944 65552 97364 131104 194728 389456 413797 778912 827594 1655188 3310376 6620752 13241504