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18515640 = 23351113283
BaseRepresentation
bin100011010100…
…0011010111000
31021211200200110
41012220122320
514220000030
61500504320
7313244313
oct106503270
937750613
1018515640
11a4a7090
12624b0a0
133ab3900
14265d97a
15195b1b0
hex11a86b8

18515640 has 192 divisors, whose sum is σ = 66407040. Its totient is φ = 4093440.

The previous prime is 18515639. The next prime is 18515657. The reversal of 18515640 is 4651581.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 18515598 and 18515607.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 223039 + ... + 223121.

It is an arithmetic number, because the mean of its divisors is an integer number (345870).

Almost surely, 218515640 is an apocalyptic number.

18515640 is a gapful number since it is divisible by the number (10) 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 18515640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33203520).

18515640 is an abundant number, since it is smaller than the sum of its proper divisors (47891400).

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

18515640 is a wasteful number, since it uses less digits than its factorization.

18515640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The square root of 18515640 is about 4302.9803624930. The cubic root of 18515640 is about 264.5531331944.

The spelling of 18515640 in words is "eighteen million, five hundred fifteen thousand, six hundred forty".