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18660096 = 283271389
BaseRepresentation
bin100011100101…
…1101100000000
31022010000211200
41013023230000
514234110341
61503541200
7314415420
oct107135400
938100750
1018660096
11a595674
1262ba800
133b345a0
14269a480
151988db6
hex11cbb00

18660096 has 216 divisors, whose sum is σ = 66961440. Its totient is φ = 4866048.

The previous prime is 18660091. The next prime is 18660119. The reversal of 18660096 is 69006681.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 18660096.

It is not an unprimeable number, because it can be changed into a prime (18660091) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 209620 + ... + 209708.

Almost surely, 218660096 is an apocalyptic number.

18660096 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 18660096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33480720).

18660096 is an abundant number, since it is smaller than the sum of its proper divisors (48301344).

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

18660096 is a wasteful number, since it uses less digits than its factorization.

18660096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 18660096 is about 4319.7333251024. The cubic root of 18660096 is about 265.2393518040.

The spelling of 18660096 in words is "eighteen million, six hundred sixty thousand, ninety-six".