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11132256 = 253611901
BaseRepresentation
bin101010011101…
…110101100000
3202221120120210
4222131311200
510322213011
61034334120
7163423362
oct52356540
922846523
1011132256
116313913
12388a340
1323ca045
14169ad32
15e9d6a6
hexa9dd60

11132256 has 48 divisors (see below), whose sum is σ = 29716848. Its totient is φ = 3648000.

The previous prime is 11132243. The next prime is 11132257. The reversal of 11132256 is 65223111.

11132256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11132257) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4906 + ... + 6806.

It is an arithmetic number, because the mean of its divisors is an integer number (619101).

Almost surely, 211132256 is an apocalyptic number.

11132256 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 11132256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14858424).

11132256 is an abundant number, since it is smaller than the sum of its proper divisors (18584592).

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

11132256 is a wasteful number, since it uses less digits than its factorization.

11132256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1975 (or 1967 counting only the distinct ones).

The product of its digits is 360, while the sum is 21.

The square root of 11132256 is about 3336.5035591169. The cubic root of 11132256 is about 223.2857778500.

Adding to 11132256 its reverse (65223111), we get a palindrome (76355367).

The spelling of 11132256 in words is "eleven million, one hundred thirty-two thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 96 122 183 244 366 488 732 976 1464 1901 1952 2928 3802 5703 5856 7604 11406 15208 22812 30416 45624 60832 91248 115961 182496 231922 347883 463844 695766 927688 1391532 1855376 2783064 3710752 5566128 11132256