Search a number
-
+
12013776 = 2432194391
BaseRepresentation
bin101101110101…
…000011010000
3211121100210200
4231311003100
511033420101
61105255200
7204054405
oct55650320
924540720
1012013776
116866145
124034500
132648358
14184a2ac
1510c4986
hexb750d0

12013776 has 60 divisors (see below), whose sum is σ = 35399520. Its totient is φ = 3792960.

The previous prime is 12013769. The next prime is 12013777. The reversal of 12013776 is 67731021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12013777) 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, 541 + ... + 4931.

It is an arithmetic number, because the mean of its divisors is an integer number (589992).

Almost surely, 212013776 is an apocalyptic number.

12013776 is a gapful number since it is divisible by the number (16) 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 12013776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17699760).

12013776 is an abundant number, since it is smaller than the sum of its proper divisors (23385744).

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

12013776 is a wasteful number, since it uses less digits than its factorization.

12013776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4424 (or 4415 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 12013776 is about 3466.0894391230. The cubic root of 12013776 is about 229.0304238038.

Adding to 12013776 its reverse (67731021), we get a palindrome (79744797).

The spelling of 12013776 in words is "twelve million, thirteen thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 456 684 912 1368 2736 4391 8782 13173 17564 26346 35128 39519 52692 70256 79038 83429 105384 158076 166858 210768 250287 316152 333716 500574 632304 667432 750861 1001148 1334864 1501722 2002296 3003444 4004592 6006888 12013776