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12011814 = 234531399
BaseRepresentation
bin101101110100…
…100100100110
3211121021010000
4231310210212
511033334224
61105242130
7204045603
oct55644446
924537100
1012011814
116864721
124033346
1326474a9
1418496aa
1510c40c9
hexb74926

12011814 has 40 divisors (see below), whose sum is σ = 27442800. Its totient is φ = 3925584.

The previous prime is 12011807. The next prime is 12011821. The reversal of 12011814 is 41811021.

12011814 = T185 + T186 + ... + T427.

12011814 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12011807) and next prime (12011821).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7887 + ... + 9285.

It is an arithmetic number, because the mean of its divisors is an integer number (686070).

Almost surely, 212011814 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12011814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13721400).

12011814 is an abundant number, since it is smaller than the sum of its proper divisors (15430986).

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

12011814 is a wasteful number, since it uses less digits than its factorization.

12011814 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1466 (or 1457 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 12011814 is about 3465.8063996709. The cubic root of 12011814 is about 229.0179552800.

Adding to 12011814 its reverse (41811021), we get a palindrome (53822835).

The spelling of 12011814 in words is "twelve million, eleven thousand, eight hundred fourteen".

Divisors: 1 2 3 6 9 18 27 53 54 81 106 159 162 318 477 954 1399 1431 2798 2862 4197 4293 8394 8586 12591 25182 37773 74147 75546 113319 148294 222441 226638 444882 667323 1334646 2001969 4003938 6005907 12011814