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468018 = 237107
BaseRepresentation
bin1110010010000110010
3212210000000
41302100302
5104434033
614010430
73656325
oct1622062
9783000
10468018
1129a6a1
121a6a16
13135045
14c27bc
1593a13
hex72432

468018 has 32 divisors (see below), whose sum is σ = 1062720. Its totient is φ = 154548.

The previous prime is 468011. The next prime is 468019. The reversal of 468018 is 810864.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 467982 and 468000.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 468018.

It is not an unprimeable number, because it can be changed into a prime (468011) by changing a digit.

468018 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4321 + ... + 4427.

It is an arithmetic number, because the mean of its divisors is an integer number (33210).

2468018 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 468018, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531360).

468018 is an abundant number, since it is smaller than the sum of its proper divisors (594702).

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

468018 is an equidigital number, since it uses as much as digits as its factorization.

468018 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 468018 is about 684.1184108033. The cubic root of 468018 is about 77.6403561302.

The spelling of 468018 in words is "four hundred sixty-eight thousand, eighteen".

Divisors: 1 2 3 6 9 18 27 54 81 107 162 214 243 321 486 642 729 963 1458 1926 2187 2889 4374 5778 8667 17334 26001 52002 78003 156006 234009 468018