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130980 = 22353759
BaseRepresentation
bin11111111110100100
320122200010
4133332210
513142410
62450220
71053603
oct377644
9218603
10130980
118a453
1263970
1347805
1435a3a
1528c20
hex1ffa4

130980 has 48 divisors (see below), whose sum is σ = 383040. Its totient is φ = 33408.

The previous prime is 130973. The next prime is 130981. The reversal of 130980 is 89031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130981) by changing a digit.

130980 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2191 + ... + 2249.

It is an arithmetic number, because the mean of its divisors is an integer number (7980).

2130980 is an apocalyptic number.

130980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191520).

130980 is an abundant number, since it is smaller than the sum of its proper divisors (252060).

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

130980 is a wasteful number, since it uses less digits than its factorization.

130980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 130980 is about 361.9115914143. The cubic root of 130980 is about 50.7849460426.

The spelling of 130980 in words is "one hundred thirty thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 59 60 74 111 118 148 177 185 222 236 295 354 370 444 555 590 708 740 885 1110 1180 1770 2183 2220 3540 4366 6549 8732 10915 13098 21830 26196 32745 43660 65490 130980