Search a number
-
+
480102 = 23722371
BaseRepresentation
bin1110101001101100110
3220101120120
41311031212
5110330402
614142410
74036500
oct1651546
9811516
10480102
112a8787
121b1a06
1313a6ac
14c6d70
15973bc
hex75366

480102 has 48 divisors (see below), whose sum is σ = 1181952. Its totient is φ = 129360.

The previous prime is 480101. The next prime is 480107. The reversal of 480102 is 201084.

480102 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480101) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 6727 + ... + 6797.

It is an arithmetic number, because the mean of its divisors is an integer number (24624).

2480102 is an apocalyptic number.

480102 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 480102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590976).

480102 is an abundant number, since it is smaller than the sum of its proper divisors (701850).

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

480102 is a wasteful number, since it uses less digits than its factorization.

480102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 480102 is about 692.8939312766. The cubic root of 480102 is about 78.3028984931.

Adding to 480102 its reverse (201084), we get a palindrome (681186).

The spelling of 480102 in words is "four hundred eighty thousand, one hundred two".

Divisors: 1 2 3 6 7 14 21 23 42 46 49 69 71 98 138 142 147 161 213 294 322 426 483 497 966 994 1127 1491 1633 2254 2982 3266 3381 3479 4899 6762 6958 9798 10437 11431 20874 22862 34293 68586 80017 160034 240051 480102