Search a number
-
+
13316064 = 253592351
BaseRepresentation
bin110010110010…
…111111100000
3221001112012120
4302302333200
511402103224
61153224240
7221120226
oct62627740
927045176
1013316064
117575613
124562080
1329b3038
141aa8b16
151280779
hexcb2fe0

13316064 has 48 divisors (see below), whose sum is σ = 35562240. Its totient is φ = 4361600.

The previous prime is 13316059. The next prime is 13316071. The reversal of 13316064 is 46061331.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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, 4489 + ... + 6839.

It is an arithmetic number, because the mean of its divisors is an integer number (740880).

Almost surely, 213316064 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 13316064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17781120).

13316064 is an abundant number, since it is smaller than the sum of its proper divisors (22246176).

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

13316064 is a wasteful number, since it uses less digits than its factorization.

13316064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2423 (or 2415 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 13316064 is about 3649.1182496598. The cubic root of 13316064 is about 237.0238007752.

Adding to 13316064 its reverse (46061331), we get a palindrome (59377395).

The spelling of 13316064 in words is "thirteen million, three hundred sixteen thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 96 118 177 236 354 472 708 944 1416 1888 2351 2832 4702 5664 7053 9404 14106 18808 28212 37616 56424 75232 112848 138709 225696 277418 416127 554836 832254 1109672 1664508 2219344 3329016 4438688 6658032 13316064