Search a number
-
+
13122304 = 28133943
BaseRepresentation
bin110010000011…
…101100000000
3220200200102021
4302003230000
511324403204
61145131224
7216352306
oct62035400
926620367
1013122304
117452a88
124489b14
132945aa0
141a58276
151243154
hexc83b00

13122304 has 36 divisors (see below), whose sum is σ = 28215376. Its totient is φ = 6054912.

The previous prime is 13122299. The next prime is 13122313. The reversal of 13122304 is 40322131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1357 + ... + 5299.

Almost surely, 213122304 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 13122304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14107688).

13122304 is an abundant number, since it is smaller than the sum of its proper divisors (15093072).

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

13122304 is an equidigital number, since it uses as much as digits as its factorization.

13122304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3972 (or 3958 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 13122304 is about 3622.4720840884. The cubic root of 13122304 is about 235.8685469219.

Adding to 13122304 its reverse (40322131), we get a palindrome (53444435).

The spelling of 13122304 in words is "thirteen million, one hundred twenty-two thousand, three hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 832 1664 3328 3943 7886 15772 31544 51259 63088 102518 126176 205036 252352 410072 504704 820144 1009408 1640288 3280576 6561152 13122304