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130960 = 2451637
BaseRepresentation
bin11111111110010000
320122122101
4133332100
513142320
62450144
71053544
oct377620
9218571
10130960
118a435
1263954
13477bb
1435a24
1528c0a
hex1ff90

130960 has 20 divisors (see below), whose sum is σ = 304668. Its totient is φ = 52352.

The previous prime is 130957. The next prime is 130969. The reversal of 130960 is 69031.

Adding to 130960 its reverse (69031), we get a palindrome (199991).

It can be divided in two parts, 1309 and 60, that added together give a square (1369 = 372).

130960 = T74 + T75 + ... + T105.

It can be written as a sum of positive squares in 2 ways, for example, as 20736 + 110224 = 144^2 + 332^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (130969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 739 + ... + 898.

2130960 is an apocalyptic number.

130960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130960 is an abundant number, since it is smaller than the sum of its proper divisors (173708).

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

130960 is a wasteful number, since it uses less digits than its factorization.

130960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1650 (or 1644 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

The square root of 130960 is about 361.8839593019. The cubic root of 130960 is about 50.7823610408.

The spelling of 130960 in words is "one hundred thirty thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1637 3274 6548 8185 13096 16370 26192 32740 65480 130960