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18420112 = 2417241281
BaseRepresentation
bin100011001000…
…1000110010000
31021122211122101
41012101012100
514203420422
61454450144
7312365644
oct106210620
937584571
1018420112
11a441337
126203954
133a7c299
142636c24
15193cc27
hex1191190

18420112 has 40 divisors (see below), whose sum is σ = 38080152. Its totient is φ = 8601600.

The previous prime is 18420071. The next prime is 18420119. The reversal of 18420112 is 21102481.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 8785296 + 9634816 = 2964^2 + 3104^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 18420112.

It is not an unprimeable number, because it can be changed into a prime (18420119) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65412 + ... + 65692.

Almost surely, 218420112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18420112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19040076).

18420112 is an abundant number, since it is smaller than the sum of its proper divisors (19660040).

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

18420112 is a wasteful number, since it uses less digits than its factorization.

18420112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

The square root of 18420112 is about 4291.8657947331. The cubic root of 18420112 is about 264.0973776066.

Adding to 18420112 its reverse (21102481), we get a palindrome (39522593).

The spelling of 18420112 in words is "eighteen million, four hundred twenty thousand, one hundred twelve".

Divisors: 1 2 4 8 16 17 34 68 136 241 272 281 482 562 964 1124 1928 2248 3856 4097 4496 4777 8194 9554 16388 19108 32776 38216 65552 67721 76432 135442 270884 541768 1083536 1151257 2302514 4605028 9210056 18420112