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11863020 = 22351367227
BaseRepresentation
bin101101010000…
…001111101100
3211022201000010
4231100033230
511014104040
61102133220
7202556031
oct55201754
924281003
1011863020
116772954
123b81210
1325c4850
14180b388
151094e80
hexb503ec

11863020 has 96 divisors (see below), whose sum is σ = 36465408. Its totient is φ = 2863872.

The previous prime is 11862989. The next prime is 11863021. The reversal of 11863020 is 2036811.

11863020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (11863021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52147 + ... + 52373.

It is an arithmetic number, because the mean of its divisors is an integer number (379848).

Almost surely, 211863020 is an apocalyptic number.

11863020 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 11863020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18232704).

11863020 is an abundant number, since it is smaller than the sum of its proper divisors (24602388).

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

11863020 is a wasteful number, since it uses less digits than its factorization.

11863020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 11863020 is about 3444.2735083033. The cubic root of 11863020 is about 228.0683851501.

Adding to 11863020 its reverse (2036811), we get a palindrome (13899831).

The spelling of 11863020 in words is "eleven million, eight hundred sixty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 67 78 130 134 156 195 201 227 260 268 335 390 402 454 670 681 780 804 871 908 1005 1135 1340 1362 1742 2010 2270 2613 2724 2951 3405 3484 4020 4355 4540 5226 5902 6810 8710 8853 10452 11804 13065 13620 14755 15209 17420 17706 26130 29510 30418 35412 44265 45627 52260 59020 60836 76045 88530 91254 152090 177060 182508 197717 228135 304180 395434 456270 593151 790868 912540 988585 1186302 1977170 2372604 2965755 3954340 5931510 11863020