Search a number
-
+
13196304 = 2433112777
BaseRepresentation
bin110010010101…
…110000010000
3220211102221000
4302111300100
511334240204
61150502000
7220111122
oct62256020
926742830
1013196304
1174a3640
124504900
132970684
141a77212
15125a039
hexc95c10

13196304 has 80 divisors (see below), whose sum is σ = 41336640. Its totient is φ = 3997440.

The previous prime is 13196299. The next prime is 13196327. The reversal of 13196304 is 40369131.

13196304 is a `hidden beast` number, since 13 + 19 + 630 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 3364 + ... + 6140.

It is an arithmetic number, because the mean of its divisors is an integer number (516708).

Almost surely, 213196304 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 13196304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20668320).

13196304 is an abundant number, since it is smaller than the sum of its proper divisors (28140336).

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

13196304 is a wasteful number, since it uses less digits than its factorization.

13196304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2805 (or 2793 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 13196304 is about 3632.6717440473. The cubic root of 13196304 is about 236.3110902738.

The spelling of 13196304 in words is "thirteen million, one hundred ninety-six thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 264 297 396 432 528 594 792 1188 1584 2376 2777 4752 5554 8331 11108 16662 22216 24993 30547 33324 44432 49986 61094 66648 74979 91641 99972 122188 133296 149958 183282 199944 244376 274923 299916 366564 399888 488752 549846 599832 733128 824769 1099692 1199664 1466256 1649538 2199384 3299076 4398768 6598152 13196304