Search a number
-
+
11940460 = 22571729173
BaseRepresentation
bin101101100011…
…001001101100
3211110122020021
4231203021230
511024043320
61103531524
7203330560
oct55431154
924418207
1011940460
116816054
123bb9ba4
132620b7c
14182b6a0
1510acdaa
hexb6326c

11940460 has 96 divisors (see below), whose sum is σ = 31570560. Its totient is φ = 3698688.

The previous prime is 11940457. The next prime is 11940469. The reversal of 11940460 is 6404911.

11940460 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 (11940469) 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, 68934 + ... + 69106.

It is an arithmetic number, because the mean of its divisors is an integer number (328860).

Almost surely, 211940460 is an apocalyptic number.

11940460 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 11940460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15785280).

11940460 is an abundant number, since it is smaller than the sum of its proper divisors (19630100).

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

11940460 is a wasteful number, since it uses less digits than its factorization.

11940460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 11940460 is about 3455.4970698873. The cubic root of 11940460 is about 228.5635745069.

The spelling of 11940460 in words is "eleven million, nine hundred forty thousand, four hundred sixty".

Divisors: 1 2 4 5 7 10 14 17 20 28 29 34 35 58 68 70 85 116 119 140 145 170 173 203 238 290 340 346 406 476 493 580 595 692 812 865 986 1015 1190 1211 1730 1972 2030 2380 2422 2465 2941 3451 3460 4060 4844 4930 5017 5882 6055 6902 9860 10034 11764 12110 13804 14705 17255 20068 20587 24220 25085 29410 34510 35119 41174 50170 58820 69020 70238 82348 85289 100340 102935 140476 170578 175595 205870 341156 351190 411740 426445 597023 702380 852890 1194046 1705780 2388092 2985115 5970230 11940460