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18070416 = 24327213197
BaseRepresentation
bin100010011101…
…1101110010000
31021000001221200
41010323232100
514111223131
61443151200
7306411300
oct104735620
937001850
1018070416
11a222631
126075500
133989070
142585600
1518be2e6
hex113bb90

18070416 has 180 divisors, whose sum is σ = 63675612. Its totient is φ = 4741632.

The previous prime is 18070411. The next prime is 18070477. The reversal of 18070416 is 61407081.

It is a happy number.

18070416 is a `hidden beast` number, since 180 + 70 + 416 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11289600 + 6780816 = 3360^2 + 2604^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 18070416.

It is not an unprimeable number, because it can be changed into a prime (18070411) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 91630 + ... + 91826.

Almost surely, 218070416 is an apocalyptic number.

18070416 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 18070416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31837806).

18070416 is an abundant number, since it is smaller than the sum of its proper divisors (45605196).

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

18070416 is a wasteful number, since it uses less digits than its factorization.

18070416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 18070416 is about 4250.9311921037. The cubic root of 18070416 is about 262.4154394296.

Adding to 18070416 its reverse (61407081), we get a palindrome (79477497).

The spelling of 18070416 in words is "eighteen million, seventy thousand, four hundred sixteen".