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11212240 = 2451310781
BaseRepresentation
bin101010110001…
…010111010000
3210002122022011
4222301113100
510332242430
61040152304
7164205514
oct52612720
923078264
1011212240
116368a16
123908694
132427580
1416bc144
15eb722a
hexab15d0

11212240 has 40 divisors (see below), whose sum is σ = 28076328. Its totient is φ = 4139520.

The previous prime is 11212237. The next prime is 11212277. The reversal of 11212240 is 4221211.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3136 + 11209104 = 56^2 + 3348^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 11212240.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 4351 + ... + 6430.

Almost surely, 211212240 is an apocalyptic number.

11212240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11212240 is an abundant number, since it is smaller than the sum of its proper divisors (16864088).

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

11212240 is a wasteful number, since it uses less digits than its factorization.

11212240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10807 (or 10801 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 11212240 is about 3348.4683065545. The cubic root of 11212240 is about 223.8192632234.

Adding to 11212240 its reverse (4221211), we get a palindrome (15433451).

The spelling of 11212240 in words is "eleven million, two hundred twelve thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 10781 21562 43124 53905 86248 107810 140153 172496 215620 280306 431240 560612 700765 862480 1121224 1401530 2242448 2803060 5606120 11212240