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130140 = 22335241
BaseRepresentation
bin11111110001011100
320121112000
4133301130
513131030
62442300
71051263
oct376134
9217460
10130140
118985a
1263390
134730a
14355da
1528860
hex1fc5c

130140 has 48 divisors (see below), whose sum is σ = 406560. Its totient is φ = 34560.

The previous prime is 130127. The next prime is 130147. The reversal of 130140 is 41031.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130147) by changing a digit.

130140 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 15 ways as a sum of consecutive naturals, for example, 420 + ... + 660.

It is an arithmetic number, because the mean of its divisors is an integer number (8470).

2130140 is an apocalyptic number.

130140 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 130140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203280).

130140 is an abundant number, since it is smaller than the sum of its proper divisors (276420).

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

130140 is a wasteful number, since it uses less digits than its factorization.

130140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 130140 is about 360.7492203734. The cubic root of 130140 is about 50.6761485794.

Adding to 130140 its reverse (41031), we get a palindrome (171171).

The spelling of 130140 in words is "one hundred thirty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 241 270 482 540 723 964 1205 1446 2169 2410 2892 3615 4338 4820 6507 7230 8676 10845 13014 14460 21690 26028 32535 43380 65070 130140