Search a number
-
+
11660000 = 25541153
BaseRepresentation
bin101100011110…
…101011100000
3210221101111212
4230132223200
510441110000
61053525252
7201052112
oct54365340
923841455
1011660000
116644370
123aa3828
132553311
1417973b2
151054c35
hexb1eae0

11660000 has 120 divisors (see below), whose sum is σ = 31883544. Its totient is φ = 4160000.

The previous prime is 11659987. The next prime is 11660003. The reversal of 11660000 is 6611.

11660000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11660003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 219974 + ... + 220026.

Almost surely, 211660000 is an apocalyptic number.

11660000 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 11660000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15941772).

11660000 is an abundant number, since it is smaller than the sum of its proper divisors (20223544).

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

11660000 is an equidigital number, since it uses as much as digits as its factorization.

11660000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 11660000 is about 3414.6742157928. The cubic root of 11660000 is about 226.7598617156.

Adding to 11660000 its reverse (6611), we get a palindrome (11666611).

The spelling of 11660000 in words is "eleven million, six hundred sixty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 53 55 80 88 100 106 110 125 160 176 200 212 220 250 265 275 352 400 424 440 500 530 550 583 625 800 848 880 1000 1060 1100 1166 1250 1325 1375 1696 1760 2000 2120 2200 2332 2500 2650 2750 2915 4000 4240 4400 4664 5000 5300 5500 5830 6625 6875 8480 8800 9328 10000 10600 11000 11660 13250 13750 14575 18656 20000 21200 22000 23320 26500 27500 29150 33125 42400 44000 46640 53000 55000 58300 66250 72875 93280 106000 110000 116600 132500 145750 212000 220000 233200 265000 291500 364375 466400 530000 583000 728750 1060000 1166000 1457500 2332000 2915000 5830000 11660000