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130761 = 3329167
BaseRepresentation
bin11111111011001001
320122101000
4133323021
513141021
62445213
71053141
oct377311
9218330
10130761
118a274
1263809
1347697
1435921
1528b26
hex1fec9

130761 has 16 divisors (see below), whose sum is σ = 201600. Its totient is φ = 83664.

The previous prime is 130729. The next prime is 130769. The reversal of 130761 is 167031.

It is not a de Polignac number, because 130761 - 25 = 130729 is a prime.

It is a Curzon number.

130761 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130769) 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, 700 + ... + 866.

It is an arithmetic number, because the mean of its divisors is an integer number (12600).

2130761 is an apocalyptic number.

It is an amenable number.

130761 is a deficient number, since it is larger than the sum of its proper divisors (70839).

130761 is a wasteful number, since it uses less digits than its factorization.

130761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 130761 is about 361.6089047576. The cubic root of 130761 is about 50.7566259235.

Adding to 130761 its reverse (167031), we get a palindrome (297792).

The spelling of 130761 in words is "one hundred thirty thousand, seven hundred sixty-one".

Divisors: 1 3 9 27 29 87 167 261 501 783 1503 4509 4843 14529 43587 130761