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11790380 = 2257253227
BaseRepresentation
bin101100111110…
…100000101100
3211012000100202
4230332200230
511004243010
61100413032
7202134200
oct54764054
924160322
1011790380
116723318
123b47178
13259a774
1417ccb00
15107d6a5
hexb3e82c

11790380 has 72 divisors (see below), whose sum is σ = 29474928. Its totient is φ = 3948672.

The previous prime is 11790353. The next prime is 11790403. The reversal of 11790380 is 8309711.

11790380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51827 + ... + 52053.

It is an arithmetic number, because the mean of its divisors is an integer number (409374).

Almost surely, 211790380 is an apocalyptic number.

11790380 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 11790380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14737464).

11790380 is an abundant number, since it is smaller than the sum of its proper divisors (17684548).

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

11790380 is a wasteful number, since it uses less digits than its factorization.

11790380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 29.

The square root of 11790380 is about 3433.7122768223. The cubic root of 11790380 is about 227.6019267136.

The spelling of 11790380 in words is "eleven million, seven hundred ninety thousand, three hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 53 70 98 106 140 196 212 227 245 265 371 454 490 530 742 908 980 1060 1135 1484 1589 1855 2270 2597 3178 3710 4540 5194 6356 7420 7945 10388 11123 12031 12985 15890 22246 24062 25970 31780 44492 48124 51940 55615 60155 84217 111230 120310 168434 222460 240620 336868 421085 589519 842170 1179038 1684340 2358076 2947595 5895190 11790380