Search a number
-
+
11335080 = 2335591601
BaseRepresentation
bin101011001111…
…010110101000
3210022212210210
4223033112220
510400210310
61042541120
7165226611
oct53172650
923285723
1011335080
116442239
1239677a0
13246b463
141710c08
15edd820
hexacf5a8

11335080 has 64 divisors (see below), whose sum is σ = 34603200. Its totient is φ = 2969600.

The previous prime is 11335069. The next prime is 11335087. The reversal of 11335080 is 8053311.

It is a happy number.

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (11335087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6280 + ... + 7880.

It is an arithmetic number, because the mean of its divisors is an integer number (540675).

Almost surely, 211335080 is an apocalyptic number.

11335080 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 11335080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17301600).

11335080 is an abundant number, since it is smaller than the sum of its proper divisors (23268120).

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

11335080 is a wasteful number, since it uses less digits than its factorization.

11335080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1674 (or 1670 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 11335080 is about 3366.7610547825. The cubic root of 11335080 is about 224.6336755125.

Adding to 11335080 its reverse (8053311), we get a palindrome (19388391).

The spelling of 11335080 in words is "eleven million, three hundred thirty-five thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 59 60 118 120 177 236 295 354 472 590 708 885 1180 1416 1601 1770 2360 3202 3540 4803 6404 7080 8005 9606 12808 16010 19212 24015 32020 38424 48030 64040 94459 96060 188918 192120 283377 377836 472295 566754 755672 944590 1133508 1416885 1889180 2267016 2833770 3778360 5667540 11335080