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11819340 = 22325135051
BaseRepresentation
bin101101000101…
…100101001100
3211020111002100
4231011211030
511011204330
61101155100
7202314501
oct55054514
924214070
1011819340
116743055
123b5ba90
1325aa9c0
1417d94a8
151087060
hexb4594c

11819340 has 72 divisors (see below), whose sum is σ = 38617488. Its totient is φ = 2908800.

The previous prime is 11819333. The next prime is 11819347. The reversal of 11819340 is 4391811.

It is an interprime number because it is at equal distance from previous prime (11819333) and next prime (11819347).

It is not an unprimeable number, because it can be changed into a prime (11819347) 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 23 ways as a sum of consecutive naturals, for example, 186 + ... + 4865.

It is an arithmetic number, because the mean of its divisors is an integer number (536354).

Almost surely, 211819340 is an apocalyptic number.

11819340 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 11819340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19308744).

11819340 is an abundant number, since it is smaller than the sum of its proper divisors (26798148).

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

11819340 is a wasteful number, since it uses less digits than its factorization.

11819340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5079 (or 5074 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 11819340 is about 3437.9267007893. The cubic root of 11819340 is about 227.7881226491.

The spelling of 11819340 in words is "eleven million, eight hundred nineteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 5051 10102 15153 20204 25255 30306 45459 50510 60612 65663 75765 90918 101020 131326 151530 181836 196989 227295 262652 303060 328315 393978 454590 590967 656630 787956 909180 984945 1181934 1313260 1969890 2363868 2954835 3939780 5909670 11819340