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11326420 = 2257174759
BaseRepresentation
bin101011001101…
…001111010100
3210022102221001
4223031033110
510344421140
61042433044
7165162430
oct53151724
923272831
1011326420
116436786
123962784
132467531
14170b9c0
15edae9a
hexacd3d4

11326420 has 48 divisors (see below), whose sum is σ = 28788480. Its totient is φ = 3654144.

The previous prime is 11326411. The next prime is 11326421. The reversal of 11326420 is 2462311.

11326420 is a nontrivial binomial coefficient, being equal to C(4760, 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11326421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1 + ... + 4759.

It is an arithmetic number, because the mean of its divisors is an integer number (599760).

Almost surely, 211326420 is an apocalyptic number.

11326420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11326420 is the 4759-th triangular number and also the 2380-th hexagonal number.

11326420 is the 1587-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11326420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14394240).

11326420 is an abundant number, since it is smaller than the sum of its proper divisors (17462060).

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

11326420 is a wasteful number, since it uses less digits than its factorization.

11326420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4792 (or 4790 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 11326420 is about 3365.4747064864. The cubic root of 11326420 is about 224.5764542357.

Adding to 11326420 its reverse (2462311), we get a palindrome (13788731).

The spelling of 11326420 in words is "eleven million, three hundred twenty-six thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 85 119 140 170 238 340 476 595 1190 2380 4759 9518 19036 23795 33313 47590 66626 80903 95180 133252 161806 166565 323612 333130 404515 566321 666260 809030 1132642 1618060 2265284 2831605 5663210 11326420