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481128 = 23320047
BaseRepresentation
bin1110101011101101000
3220102222120
41311131220
5110344003
614151240
74042464
oct1653550
9812876
10481128
112a952a
121b2520
1313acbb
14c74a4
1597853
hex75768

481128 has 16 divisors (see below), whose sum is σ = 1202880. Its totient is φ = 160368.

The previous prime is 481123. The next prime is 481133. The reversal of 481128 is 821184.

It is an interprime number because it is at equal distance from previous prime (481123) and next prime (481133).

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 20047 = 481128 / (4 + 8 + 1 + 1 + 2 + 8).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 481098 and 481107.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 481128.

It is not an unprimeable number, because it can be changed into a prime (481123) 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 3 ways as a sum of consecutive naturals, for example, 10000 + ... + 10047.

It is an arithmetic number, because the mean of its divisors is an integer number (75180).

2481128 is an apocalyptic number.

It is an amenable number.

481128 is an abundant number, since it is smaller than the sum of its proper divisors (721752).

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

481128 is a wasteful number, since it uses less digits than its factorization.

481128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20056 (or 20052 counting only the distinct ones).

The product of its digits is 512, while the sum is 24.

The square root of 481128 is about 693.6339092057. The cubic root of 481128 is about 78.3586377683.

It can be divided in two parts, 48 and 1128, that added together give a triangular number (1176 = T48).

The spelling of 481128 in words is "four hundred eighty-one thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 24 20047 40094 60141 80188 120282 160376 240564 481128