Search a number
-
+
13228704 = 253361251
BaseRepresentation
bin110010011101…
…101010100000
3220220002101000
4302131222200
511341304304
61151312000
7220304436
oct62355240
926802330
1013228704
117515a15
12451b600
132982348
141a84d56
151264939
hexc9daa0

13228704 has 96 divisors (see below), whose sum is σ = 39372480. Its totient is φ = 4320000.

The previous prime is 13228687. The next prime is 13228717. The reversal of 13228704 is 40782231.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52579 + ... + 52829.

It is an arithmetic number, because the mean of its divisors is an integer number (410130).

Almost surely, 213228704 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 13228704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19686240).

13228704 is an abundant number, since it is smaller than the sum of its proper divisors (26143776).

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

13228704 is a wasteful number, since it uses less digits than its factorization.

13228704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 13228704 is about 3637.1285377341. The cubic root of 13228704 is about 236.5043317984.

The spelling of 13228704 in words is "thirteen million, two hundred twenty-eight thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 61 72 96 108 122 144 183 216 244 251 288 366 432 488 502 549 732 753 864 976 1004 1098 1464 1506 1647 1952 2008 2196 2259 2928 3012 3294 4016 4392 4518 5856 6024 6588 6777 8032 8784 9036 12048 13176 13554 15311 17568 18072 24096 26352 27108 30622 36144 45933 52704 54216 61244 72288 91866 108432 122488 137799 183732 216864 244976 275598 367464 413397 489952 551196 734928 826794 1102392 1469856 1653588 2204784 3307176 4409568 6614352 13228704