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131054 = 27112337
BaseRepresentation
bin11111111111101110
320122202212
4133333232
513143204
62450422
71054040
oct377756
9218685
10131054
118a510
1263a12
1347861
1435a90
1528c6e
hex1ffee

131054 has 32 divisors (see below), whose sum is σ = 262656. Its totient is φ = 47520.

The previous prime is 131041. The next prime is 131059. The reversal of 131054 is 450131.

Adding to 131054 its reverse (450131), we get a palindrome (581185).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131059) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3524 + ... + 3560.

It is equal to the Eulerian number A(17, 1).

It is an arithmetic number, because the mean of its divisors is an integer number (8208).

2131054 is an apocalyptic number.

131054 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

131054 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

131054 is a wasteful number, since it uses less digits than its factorization.

131054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80.

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 131054 is about 362.0138118912. The cubic root of 131054 is about 50.7945082620.

The spelling of 131054 in words is "one hundred thirty-one thousand, fifty-four".

Divisors: 1 2 7 11 14 22 23 37 46 74 77 154 161 253 259 322 407 506 518 814 851 1702 1771 2849 3542 5698 5957 9361 11914 18722 65527 131054