130410 has 80 divisors (see below), whose sum is σ = 418176. Its totient is φ = 28512.

The previous prime is 130409. The next prime is 130411. The reversal of 130410 is 14031.

It is an interprime number because it is at equal distance from previous prime (130409) and next prime (130411).

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

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 130392 and 130401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130411) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5659 + ... + 5681.

2^{130410} is an apocalyptic number.

130410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 130410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209088).

130410 is an abundant number, since it is smaller than the sum of its proper divisors (287766).

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

130410 is a wasteful number, since it uses less digits than its factorization.

130410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49 (or 40 counting only the distinct ones).

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

The square root of 130410 is about 361.1232476593. The cubic root of 130410 is about 50.7111701168.

Adding to 130410 its reverse (14031), we get a palindrome (144441).

The spelling of 130410 in words is "one hundred thirty thousand, four hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 23 27 30 35 42 45 46 54 63 69 70 81 90 105 115 126 135 138 161 162 189 207 210 230 270 315 322 345 378 405 414 483 567 621 630 690 805 810 945 966 1035 1134 1242 1449 1610 1863 1890 2070 2415 2835 2898 3105 3726 4347 4830 5670 6210 7245 8694 9315 13041 14490 18630 21735 26082 43470 65205 130410

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