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11423744 = 2122789
BaseRepresentation
bin101011100101…
…000000000000
3210111101102122
4223211000000
510411024434
61044503412
7166046243
oct53450000
923441378
1011423744
1164a2912
1239aab68
13249c917
14173525a
151009c2e
hexae5000

11423744 has 26 divisors (see below), whose sum is σ = 22852890. Its totient is φ = 5709824.

The previous prime is 11423689. The next prime is 11423747. The reversal of 11423744 is 44732411.

It can be written as a sum of positive squares in only one way, i.e., 10240000 + 1183744 = 3200^2 + 1088^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11423747) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2702 + ... + 5490.

Almost surely, 211423744 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 11423744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11426445).

11423744 is an abundant number, since it is smaller than the sum of its proper divisors (11429146).

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

11423744 is an frugal number, since it uses more digits than its factorization.

11423744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2813 (or 2791 counting only the distinct ones).

The product of its digits is 2688, while the sum is 26.

The square root of 11423744 is about 3379.9029571868. The cubic root of 11423744 is about 225.2178564819.

It can be divided in two parts, 11423 and 744, that added together give a cube (12167 = 233).

The spelling of 11423744 in words is "eleven million, four hundred twenty-three thousand, seven hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 2789 4096 5578 11156 22312 44624 89248 178496 356992 713984 1427968 2855936 5711872 11423744