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11920240 = 2451091367
BaseRepresentation
bin101101011110…
…001101110000
3211102121111101
4231132031300
511022421430
61103254144
7203214613
oct55361560
924377441
1011920240
116801942
123baa354
1326148c7
14182417a
1510a6dca
hexb5e370

11920240 has 40 divisors (see below), whose sum is σ = 27989280. Its totient is φ = 4720896.

The previous prime is 11920229. The next prime is 11920289. The reversal of 11920240 is 4202911.

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

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 8037 + ... + 9403.

It is an arithmetic number, because the mean of its divisors is an integer number (699732).

Almost surely, 211920240 is an apocalyptic number.

11920240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11920240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13994640).

11920240 is an abundant number, since it is smaller than the sum of its proper divisors (16069040).

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

11920240 is a wasteful number, since it uses less digits than its factorization.

11920240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1489 (or 1483 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 11920240 is about 3452.5700572182. The cubic root of 11920240 is about 228.4344849338.

The spelling of 11920240 in words is "eleven million, nine hundred twenty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 109 218 436 545 872 1090 1367 1744 2180 2734 4360 5468 6835 8720 10936 13670 21872 27340 54680 109360 149003 298006 596012 745015 1192024 1490030 2384048 2980060 5960120 11920240