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131028 = 22361179
BaseRepresentation
bin11111111111010100
320122201220
4133333110
513143103
62450340
71054002
oct377724
9218656
10131028
118a497
12639b0
1347841
1435a72
1528c53
hex1ffd4

131028 has 24 divisors (see below), whose sum is σ = 312480. Its totient is φ = 42720.

The previous prime is 131023. The next prime is 131041. The reversal of 131028 is 820131.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 130998 and 131016.

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 131028.

It is not an unprimeable number, because it can be changed into a prime (131023) by changing a digit.

131028 is an untouchable number, because it is not equal to the sum of proper divisors of any 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, 643 + ... + 821.

It is an arithmetic number, because the mean of its divisors is an integer number (13020).

2131028 is an apocalyptic number.

It is an amenable number.

131028 is an abundant number, since it is smaller than the sum of its proper divisors (181452).

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

131028 is a wasteful number, since it uses less digits than its factorization.

131028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 131028 is about 361.9778998779. The cubic root of 131028 is about 50.7911489736.

Adding to 131028 its reverse (820131), we get a palindrome (951159).

The spelling of 131028 in words is "one hundred thirty-one thousand, twenty-eight".

Divisors: 1 2 3 4 6 12 61 122 179 183 244 358 366 537 716 732 1074 2148 10919 21838 32757 43676 65514 131028