Search a number
-
+
13503104 = 27314183
BaseRepresentation
bin110011100000…
…101010000000
3221102000202222
4303200222000
511424044404
61201230212
7222526436
oct63405200
927360688
1013503104
11769309a
124632368
132a4a204
141b16d56
1512badbe
hexce0a80

13503104 has 64 divisors (see below), whose sum is σ = 28788480. Its totient is φ = 6297600.

The previous prime is 13503103. The next prime is 13503121. The reversal of 13503104 is 40130531.

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

It is not an unprimeable number, because it can be changed into a prime (13503101) 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, 162647 + ... + 162729.

It is an arithmetic number, because the mean of its divisors is an integer number (449820).

Almost surely, 213503104 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 13503104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14394240).

13503104 is an abundant number, since it is smaller than the sum of its proper divisors (15285376).

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

13503104 is an equidigital number, since it uses as much as digits as its factorization.

13503104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 13503104 is about 3674.6569907952. The cubic root of 13503104 is about 238.1284056296.

Adding to 13503104 its reverse (40130531), we get a palindrome (53633635).

The spelling of 13503104 in words is "thirteen million, five hundred three thousand, one hundred four".

Divisors: 1 2 4 8 16 31 32 41 62 64 82 83 124 128 164 166 248 328 332 496 656 664 992 1271 1312 1328 1984 2542 2573 2624 2656 3403 3968 5084 5146 5248 5312 6806 10168 10292 10624 13612 20336 20584 27224 40672 41168 54448 81344 82336 105493 108896 162688 164672 210986 217792 329344 421972 435584 843944 1687888 3375776 6751552 13503104