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130788 = 22337173
BaseRepresentation
bin11111111011100100
320122102000
4133323210
513141123
62445300
71053210
oct377344
9218360
10130788
118a299
1263830
13476b8
1435940
1528b43
hex1fee4

130788 has 48 divisors (see below), whose sum is σ = 389760. Its totient is φ = 37152.

The previous prime is 130787. The next prime is 130807. The reversal of 130788 is 887031.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (130783) 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, 670 + ... + 842.

It is an arithmetic number, because the mean of its divisors is an integer number (8120).

2130788 is an apocalyptic number.

130788 is a gapful number since it is divisible by the number (18) 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 130788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194880).

130788 is an abundant number, since it is smaller than the sum of its proper divisors (258972).

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

130788 is a wasteful number, since it uses less digits than its factorization.

130788 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 130788 is about 361.6462359821. The cubic root of 130788 is about 50.7601191531.

The spelling of 130788 in words is "one hundred thirty thousand, seven hundred eighty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 173 189 252 346 378 519 692 756 1038 1211 1557 2076 2422 3114 3633 4671 4844 6228 7266 9342 10899 14532 18684 21798 32697 43596 65394 130788