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482120 = 23517709
BaseRepresentation
bin1110101101101001000
3220111100022
41311231020
5110411440
614200012
74045412
oct1655510
9814308
10482120
112aa251
121b3008
1313b5a2
14c79b2
1597cb5
hex75b48

482120 has 32 divisors (see below), whose sum is σ = 1150200. Its totient is φ = 181248.

The previous prime is 482117. The next prime is 482123. The reversal of 482120 is 21284.

482120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (482117) and next prime (482123).

It can be written as a sum of positive squares in 4 ways, for example, as 362404 + 119716 = 602^2 + 346^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

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 482120.

It is not an unprimeable number, because it can be changed into a prime (482123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 326 + ... + 1034.

2482120 is an apocalyptic number.

482120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 482120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575100).

482120 is an abundant number, since it is smaller than the sum of its proper divisors (668080).

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

482120 is a wasteful number, since it uses less digits than its factorization.

482120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 737 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 482120 is about 694.3486156103. The cubic root of 482120 is about 78.4124546366.

The spelling of 482120 in words is "four hundred eighty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 709 1418 2836 3545 5672 7090 12053 14180 24106 28360 48212 60265 96424 120530 241060 482120