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480216 = 2331117107
BaseRepresentation
bin1110101001111011000
3220101201210
41311033120
5110331331
614143120
74040022
oct1651730
9811653
10480216
112a8880
121b1aa0
1313a769
14c7012
1597446
hex753d8

480216 has 64 divisors (see below), whose sum is σ = 1399680. Its totient is φ = 135680.

The previous prime is 480209. The next prime is 480287. The reversal of 480216 is 612084.

480216 = 1602 + 1612 + ... + 1762.

480216 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

480216 is a modest number, since divided by 216 gives 48 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 480192 and 480201.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 480216.

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 15 ways as a sum of consecutive naturals, for example, 4435 + ... + 4541.

It is an arithmetic number, because the mean of its divisors is an integer number (21870).

2480216 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 480216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699840).

480216 is an abundant number, since it is smaller than the sum of its proper divisors (919464).

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

480216 is a wasteful number, since it uses less digits than its factorization.

480216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 480216 is about 692.9761900672. The cubic root of 480216 is about 78.3090956651.

It can be divided in two parts, 480 and 216, that added together give a palindrome (696).

The spelling of 480216 in words is "four hundred eighty thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 44 51 66 68 88 102 107 132 136 187 204 214 264 321 374 408 428 561 642 748 856 1122 1177 1284 1496 1819 2244 2354 2568 3531 3638 4488 4708 5457 7062 7276 9416 10914 14124 14552 20009 21828 28248 40018 43656 60027 80036 120054 160072 240108 480216