Search a number
130845 = 35111361
BaseRepresentation
bin11111111100011101
320122111010
4133330131
513141340
62445433
71053321
oct377435
9218433
10130845
118a340
1263879
1347730
1435981
1528b80
hex1ff1d

130845 has 32 divisors (see below), whose sum is σ = 249984. Its totient is φ = 57600.

The previous prime is 130843. The next prime is 130859. The reversal of 130845 is 548031.

130845 = T166 + T167 + ... + T174.

It is not a de Polignac number, because 130845 - 21 = 130843 is a prime.

It is a Smith number, since the sum of its digits (21) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130841) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2115 + ... + 2175.

It is an arithmetic number, because the mean of its divisors is an integer number (7812).

2130845 is an apocalyptic number.

130845 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

130845 is a deficient number, since it is larger than the sum of its proper divisors (119139).

130845 is a wasteful number, since it uses less digits than its factorization.

130845 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93.

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 130845 is about 361.7250336927. The cubic root of 130845 is about 50.7674921705.

Adding to 130845 its reverse (548031), we get a palindrome (678876).

The spelling of 130845 in words is "one hundred thirty thousand, eight hundred forty-five".