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18018468 = 22321338501
BaseRepresentation
bin100010010111…
…1000010100100
31020220102200200
41010233002210
514103042333
61442110500
7306103656
oct104570244
936812620
1018018468
11a1975a6
12604b430
13396b520
1425706d6
1518adc13
hex112f0a4

18018468 has 36 divisors (see below), whose sum is σ = 49051548. Its totient is φ = 5544000.

The previous prime is 18018467. The next prime is 18018491. The reversal of 18018468 is 86481081.

18018468 is a `hidden beast` number, since 180 + 18 + 468 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8020224 + 9998244 = 2832^2 + 3162^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is not an unprimeable number, because it can be changed into a prime (18018461) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18783 + ... + 19718.

It is an arithmetic number, because the mean of its divisors is an integer number (1362543).

Almost surely, 218018468 is an apocalyptic number.

18018468 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

18018468 is an abundant number, since it is smaller than the sum of its proper divisors (31033080).

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

18018468 is a wasteful number, since it uses less digits than its factorization.

18018468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38524 (or 38519 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 18018468 is about 4244.8166038122. The cubic root of 18018468 is about 262.1637381408.

The spelling of 18018468 in words is "eighteen million, eighteen thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 38501 77002 115503 154004 231006 346509 462012 500513 693018 1001026 1386036 1501539 2002052 3003078 4504617 6006156 9009234 18018468