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11415424 = 27101883
BaseRepresentation
bin101011100010…
…111110000000
3210110222000111
4223202332000
510410243144
61044401104
7166013056
oct53427600
923428014
1011415424
116497639
1239a6194
132498bb7
1417321d6
151007534
hexae2f80

11415424 has 32 divisors (see below), whose sum is σ = 22992840. Its totient is φ = 5644800.

The previous prime is 11415413. The next prime is 11415427. The reversal of 11415424 is 42451411.

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 11415395 and 11415404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11415427) 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 3 ways as a sum of consecutive naturals, for example, 12487 + ... + 13369.

Almost surely, 211415424 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 11415424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11496420).

11415424 is an abundant number, since it is smaller than the sum of its proper divisors (11577416).

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

11415424 is an equidigital number, since it uses as much as digits as its factorization.

11415424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998 (or 986 counting only the distinct ones).

The product of its digits is 640, while the sum is 22.

The square root of 11415424 is about 3378.6719284358. The cubic root of 11415424 is about 225.1631672412.

Adding to 11415424 its reverse (42451411), we get a palindrome (53866835).

The spelling of 11415424 in words is "eleven million, four hundred fifteen thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 101 128 202 404 808 883 1616 1766 3232 3532 6464 7064 12928 14128 28256 56512 89183 113024 178366 356732 713464 1426928 2853856 5707712 11415424