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11012256 = 253238237
BaseRepresentation
bin101010000000…
…100010100000
3202201110222100
4222000202200
510304343011
61032010400
7162413463
oct52004240
922643870
1011012256
116241742
123830a00
132387538
1416692da
15e77d56
hexa808a0

11012256 has 36 divisors (see below), whose sum is σ = 31316922. Its totient is φ = 3670656.

The previous prime is 11012251. The next prime is 11012293. The reversal of 11012256 is 65221011.

It can be written as a sum of positive squares in only one way, i.e., 9363600 + 1648656 = 3060^2 + 1284^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (11012251) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18831 + ... + 19406.

Almost surely, 211012256 is an apocalyptic number.

11012256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11012256 is an abundant number, since it is smaller than the sum of its proper divisors (20304666).

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

11012256 is a wasteful number, since it uses less digits than its factorization.

11012256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38253 (or 38242 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 11012256 is about 3318.4719375038. The cubic root of 11012256 is about 222.4805756725.

Adding to 11012256 its reverse (65221011), we get a palindrome (76233267).

The spelling of 11012256 in words is "eleven million, twelve thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 38237 76474 114711 152948 229422 305896 344133 458844 611792 688266 917688 1223584 1376532 1835376 2753064 3670752 5506128 11012256