Search a number
-
+
480320120 = 23571715429
BaseRepresentation
bin11100101000010…
…001101001111000
31020110210210100002
4130220101221320
51440430220440
6115354532132
714621440130
oct3450215170
91213723302
10480320120
11227145685
12114a37048
13786845b7
1447b11ac0
152c27c115
hex1ca11a78

480320120 has 32 divisors (see below), whose sum is σ = 1235109600. Its totient is φ = 164681088.

The previous prime is 480320117. The next prime is 480320143. The reversal of 480320120 is 21023084.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 480320092 and 480320101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 857435 + ... + 857994.

It is an arithmetic number, because the mean of its divisors is an integer number (38597175).

Almost surely, 2480320120 is an apocalyptic number.

480320120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

480320120 is an abundant number, since it is smaller than the sum of its proper divisors (754789480).

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

480320120 is a wasteful number, since it uses less digits than its factorization.

480320120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1715447 (or 1715443 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 480320120 is about 21916.2067885846. The cubic root of 480320120 is about 783.1475489189.

The spelling of 480320120 in words is "four hundred eighty million, three hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 1715429 3430858 6861716 8577145 12008003 13723432 17154290 24016006 34308580 48032012 60040015 68617160 96064024 120080030 240160060 480320120