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11819860 = 225133269
BaseRepresentation
bin101101000101…
…101101010100
3211020111210121
4231011231110
511011213420
61101201324
7202316143
oct55055524
924214717
1011819860
116743488
123b60244
1325ab000
1417d975a
1510872aa
hexb45b54

11819860 has 48 divisors (see below), whose sum is σ = 26989200. Its totient is φ = 4348032.

The previous prime is 11819839. The next prime is 11819887. The reversal of 11819860 is 6891811.

11819860 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 11048976 + 770884 = 3324^2 + 878^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43806 + ... + 44074.

It is an arithmetic number, because the mean of its divisors is an integer number (562275).

Almost surely, 211819860 is an apocalyptic number.

11819860 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 11819860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13494600).

11819860 is an abundant number, since it is smaller than the sum of its proper divisors (15169340).

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

11819860 is a wasteful number, since it uses less digits than its factorization.

11819860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 34.

The square root of 11819860 is about 3438.0023269335. The cubic root of 11819860 is about 227.7914631652.

The spelling of 11819860 in words is "eleven million, eight hundred nineteen thousand, eight hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 169 260 269 338 538 676 845 1076 1345 1690 2197 2690 3380 3497 4394 5380 6994 8788 10985 13988 17485 21970 34970 43940 45461 69940 90922 181844 227305 454610 590993 909220 1181986 2363972 2954965 5909930 11819860