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13232004 = 2232947809
BaseRepresentation
bin110010011110…
…011110000100
3220220020220020
4302132132010
511341411004
61151335140
7220320162
oct62363604
926806806
1013232004
117518445
1245214b0
1329839b6
141a86232
1512658d9
hexc9e784

13232004 has 48 divisors (see below), whose sum is σ = 32659200. Its totient is φ = 4162816.

The previous prime is 13231997. The next prime is 13232017. The reversal of 13232004 is 40023231.

13232004 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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, 15952 + ... + 16760.

It is an arithmetic number, because the mean of its divisors is an integer number (680400).

Almost surely, 213232004 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 13232004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16329600).

13232004 is an abundant number, since it is smaller than the sum of its proper divisors (19427196).

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

13232004 is a wasteful number, since it uses less digits than its factorization.

13232004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 892 (or 890 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 13232004 is about 3637.5821640205. The cubic root of 13232004 is about 236.5239960932.

Adding to 13232004 its reverse (40023231), we get a palindrome (53255235).

The spelling of 13232004 in words is "thirteen million, two hundred thirty-two thousand, four".

Divisors: 1 2 3 4 6 12 29 47 58 87 94 116 141 174 188 282 348 564 809 1363 1618 2427 2726 3236 4089 4854 5452 8178 9708 16356 23461 38023 46922 70383 76046 93844 114069 140766 152092 228138 281532 456276 1102667 2205334 3308001 4410668 6616002 13232004