Search a number
-
+
13028256 = 253317887
BaseRepresentation
bin110001101100…
…101110100000
3220111220102000
4301230232200
511313401011
61143124000
7215511153
oct61545640
926456360
1013028256
11739935a
124443600
132912037
141a31c9a
151225356
hexc6cba0

13028256 has 96 divisors (see below), whose sum is σ = 40279680. Its totient is φ = 4082688.

The previous prime is 13028251. The next prime is 13028263. The reversal of 13028256 is 65282031.

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 not an unprimeable number, because it can be changed into a prime (13028251) by changing a digit.

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, 14245 + ... + 15131.

It is an arithmetic number, because the mean of its divisors is an integer number (419580).

Almost surely, 213028256 is an apocalyptic number.

13028256 is a gapful number since it is divisible by the number (16) 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 13028256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20139840).

13028256 is an abundant number, since it is smaller than the sum of its proper divisors (27251424).

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

13028256 is a wasteful number, since it uses less digits than its factorization.

13028256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 923 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 13028256 is about 3609.4675507615. The cubic root of 13028256 is about 235.3037027076.

The spelling of 13028256 in words is "thirteen million, twenty-eight thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 68 72 96 102 108 136 144 153 204 216 272 288 306 408 432 459 544 612 816 864 887 918 1224 1632 1774 1836 2448 2661 3548 3672 4896 5322 7096 7344 7983 10644 14192 14688 15079 15966 21288 23949 28384 30158 31932 42576 45237 47898 60316 63864 85152 90474 95796 120632 127728 135711 180948 191592 241264 255456 271422 361896 383184 407133 482528 542844 723792 766368 814266 1085688 1447584 1628532 2171376 3257064 4342752 6514128 13028256