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11330140 = 2253761251
BaseRepresentation
bin101011001110…
…001001011100
3210022122000211
4223032021130
510400031030
61042502204
7165206323
oct53161134
923278024
1011330140
116439558
123964964
132469133
14170d0ba
15edc12a
hexace25c

11330140 has 48 divisors (see below), whose sum is σ = 24935904. Its totient is φ = 4320000.

The previous prime is 11330129. The next prime is 11330141. The reversal of 11330140 is 4103311.

11330140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 11330140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11330141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45015 + ... + 45265.

It is an arithmetic number, because the mean of its divisors is an integer number (519498).

Almost surely, 211330140 is an apocalyptic number.

11330140 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 11330140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12467952).

11330140 is an abundant number, since it is smaller than the sum of its proper divisors (13605764).

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

11330140 is a wasteful number, since it uses less digits than its factorization.

11330140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 11330140 is about 3366.0273320340. The cubic root of 11330140 is about 224.6010378483.

Adding to 11330140 its reverse (4103311), we get a palindrome (15433451).

The spelling of 11330140 in words is "eleven million, three hundred thirty thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 37 61 74 122 148 185 244 251 305 370 502 610 740 1004 1220 1255 2257 2510 4514 5020 9028 9287 11285 15311 18574 22570 30622 37148 45140 46435 61244 76555 92870 153110 185740 306220 566507 1133014 2266028 2832535 5665070 11330140