Search a number
-
+
14541066 = 2331132383
BaseRepresentation
bin110111011110…
…000100001010
31000100202121000
4313132010022
512210303231
61235355430
7234411531
oct67360412
930322530
1014541066
118231a11
124a52b76
1330217a7
141d07318
1514236e6
hexdde10a

14541066 has 32 divisors (see below), whose sum is σ = 32613120. Its totient is φ = 4802112.

The previous prime is 14541053. The next prime is 14541073. The reversal of 14541066 is 66014541.

14541066 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×145410662 = 422885200832712, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4911 + ... + 7293.

It is an arithmetic number, because the mean of its divisors is an integer number (1019160).

Almost surely, 214541066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14541066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16306560).

14541066 is an abundant number, since it is smaller than the sum of its proper divisors (18072054).

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

14541066 is a wasteful number, since it uses less digits than its factorization.

14541066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2507 (or 2501 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 14541066 is about 3813.2749704158. The cubic root of 14541066 is about 244.0799366328.

The spelling of 14541066 in words is "fourteen million, five hundred forty-one thousand, sixty-six".

Divisors: 1 2 3 6 9 18 27 54 113 226 339 678 1017 2034 2383 3051 4766 6102 7149 14298 21447 42894 64341 128682 269279 538558 807837 1615674 2423511 4847022 7270533 14541066