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466020 = 22335863
BaseRepresentation
bin1110001110001100100
3212200021000
41301301210
5104403040
613553300
73650442
oct1616144
9780230
10466020
11299145
121a5830
13134169
14c1b92
1593130
hex71c64

466020 has 48 divisors (see below), whose sum is σ = 1451520. Its totient is φ = 124128.

The previous prime is 466019. The next prime is 466027. The reversal of 466020 is 20664.

466020 is a `hidden beast` number, since 4 + 660 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 465984 and 466002.

It is not an unprimeable number, because it can be changed into a prime (466027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109 + ... + 971.

It is an arithmetic number, because the mean of its divisors is an integer number (30240).

2466020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 466020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725760).

466020 is an abundant number, since it is smaller than the sum of its proper divisors (985500).

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

466020 is a wasteful number, since it uses less digits than its factorization.

466020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 881 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 466020 is about 682.6565754462. The cubic root of 466020 is about 77.5297145854.

Adding to 466020 its reverse (20664), we get a palindrome (486684).

The spelling of 466020 in words is "four hundred sixty-six thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 863 1726 2589 3452 4315 5178 7767 8630 10356 12945 15534 17260 23301 25890 31068 38835 46602 51780 77670 93204 116505 155340 233010 466020