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11427012 = 2232532113
BaseRepresentation
bin101011100101…
…110011000100
3210111112220200
4223211303010
510411131022
61044530500
7166061622
oct53456304
923445820
1011427012
1164a5313
1239b0a30
1324a125c
141736512
15100abac
hexae5cc4

11427012 has 54 divisors (see below), whose sum is σ = 29700762. Its totient is φ = 3704064.

The previous prime is 11427011. The next prime is 11427029. The reversal of 11427012 is 21072411.

11427012 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 can be written as a sum of positive squares in 3 ways, for example, as 968256 + 10458756 = 984^2 + 3234^2 .

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (11427011) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 101068 + ... + 101180.

Almost surely, 211427012 is an apocalyptic number.

11427012 is a gapful number since it is divisible by the number (12) 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 11427012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14850381).

11427012 is an abundant number, since it is smaller than the sum of its proper divisors (18273750).

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

11427012 is a wasteful number, since it uses less digits than its factorization.

11427012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 11427012 is about 3380.3863684496. The cubic root of 11427012 is about 225.2393305212.

Adding to 11427012 its reverse (21072411), we get a palindrome (32499423).

The spelling of 11427012 in words is "eleven million, four hundred twenty-seven thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 113 159 212 226 318 339 452 477 636 678 954 1017 1356 1908 2034 2809 4068 5618 5989 8427 11236 11978 16854 17967 23956 25281 33708 35934 50562 53901 71868 101124 107802 215604 317417 634834 952251 1269668 1904502 2856753 3809004 5713506 11427012