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131645 = 5113233
BaseRepresentation
bin100000001000111101
320200120202
4200020331
513203040
62453245
71055543
oct401075
9220522
10131645
118a9a8
1264225
1347bc7
1435d93
1529015
hex2023d

131645 has 8 divisors (see below), whose sum is σ = 160056. Its totient is φ = 103936.

The previous prime is 131641. The next prime is 131671. The reversal of 131645 is 546131.

131645 is nontrivially palindromic in base 11.

It can be written as a sum of positive squares in 4 ways, for example, as 3481 + 128164 = 59^2 + 358^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 131645 - 22 = 131641 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 449 + ... + 681.

It is an arithmetic number, because the mean of its divisors is an integer number (20007).

2131645 is an apocalyptic number.

It is an amenable number.

131645 is a deficient number, since it is larger than the sum of its proper divisors (28411).

131645 is a wasteful number, since it uses less digits than its factorization.

131645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351.

The product of its digits is 360, while the sum is 20.

The square root of 131645 is about 362.8291609008. The cubic root of 131645 is about 50.8707479337.

Adding to 131645 its reverse (546131), we get a palindrome (677776).

The spelling of 131645 in words is "one hundred thirty-one thousand, six hundred forty-five".

Divisors: 1 5 113 233 565 1165 26329 131645