Search a number
-
+
13066600 = 235279827
BaseRepresentation
bin110001110110…
…000101101000
3220120212000011
4301312011220
511321112400
61144021304
7216031021
oct61660550
926525004
1013066600
117415148
124461834
132926621
141a41c48
1512318ba
hexc76168

13066600 has 48 divisors (see below), whose sum is σ = 30801600. Its totient is φ = 5154240.

The previous prime is 13066589. The next prime is 13066609. The reversal of 13066600 is 666031.

It is not an unprimeable number, because it can be changed into a prime (13066609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15387 + ... + 16213.

It is an arithmetic number, because the mean of its divisors is an integer number (641700).

Almost surely, 213066600 is an apocalyptic number.

13066600 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 13066600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15400800).

13066600 is an abundant number, since it is smaller than the sum of its proper divisors (17735000).

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

13066600 is a wasteful number, since it uses less digits than its factorization.

13066600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922 (or 913 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 13066600 is about 3614.7752350596. The cubic root of 13066600 is about 235.5343206337.

The spelling of 13066600 in words is "thirteen million, sixty-six thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 79 100 158 200 316 395 632 790 827 1580 1654 1975 3160 3308 3950 4135 6616 7900 8270 15800 16540 20675 33080 41350 65333 82700 130666 165400 261332 326665 522664 653330 1306660 1633325 2613320 3266650 6533300 13066600