Search a number
-
+
13332320 = 255103809
BaseRepresentation
bin110010110110…
…111101100000
3221002100111122
4302312331200
511403113240
61153431412
7221215511
oct62667540
927070448
1013332320
117586851
12456b568
1329ba561
141ab0a08
1512854b5
hexcb6f60

13332320 has 48 divisors (see below), whose sum is σ = 31842720. Its totient is φ = 5274624.

The previous prime is 13332317. The next prime is 13332323. The reversal of 13332320 is 2323331.

It is an interprime number because it is at equal distance from previous prime (13332317) and next prime (13332323).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13332323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16076 + ... + 16884.

It is an arithmetic number, because the mean of its divisors is an integer number (663390).

Almost surely, 213332320 is an apocalyptic number.

13332320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13332320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15921360).

13332320 is an abundant number, since it is smaller than the sum of its proper divisors (18510400).

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

13332320 is a wasteful number, since it uses less digits than its factorization.

13332320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 927 (or 919 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 17.

The square root of 13332320 is about 3651.3449576834. The cubic root of 13332320 is about 237.1202129496.

Adding to 13332320 its reverse (2323331), we get a palindrome (15655651).

The spelling of 13332320 in words is "thirteen million, three hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 103 160 206 412 515 809 824 1030 1618 1648 2060 3236 3296 4045 4120 6472 8090 8240 12944 16180 16480 25888 32360 64720 83327 129440 166654 333308 416635 666616 833270 1333232 1666540 2666464 3333080 6666160 13332320