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130350 = 23521179
BaseRepresentation
bin11111110100101110
320121210210
4133310232
513132400
62443250
71052013
oct376456
9217723
10130350
1189a30
1263526
134743c
143570a
1528950
hex1fd2e

130350 has 48 divisors (see below), whose sum is σ = 357120. Its totient is φ = 31200.

The previous prime is 130349. The next prime is 130363. The reversal of 130350 is 53031.

It is a happy number.

It is a super-2 number, since 2×1303502 = 33982245000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1611 + ... + 1689.

It is an arithmetic number, because the mean of its divisors is an integer number (7440).

2130350 is an apocalyptic number.

130350 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 130350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178560).

130350 is an abundant number, since it is smaller than the sum of its proper divisors (226770).

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

130350 is a wasteful number, since it uses less digits than its factorization.

130350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 45, while the sum is 12.

The square root of 130350 is about 361.0401639707. The cubic root of 130350 is about 50.7033917334.

Subtracting from 130350 its product of nonzero digits (45), we obtain a triangular number (130305 = T510).

Adding to 130350 its reverse (53031), we get a palindrome (183381).

The spelling of 130350 in words is "one hundred thirty thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 50 55 66 75 79 110 150 158 165 237 275 330 395 474 550 790 825 869 1185 1650 1738 1975 2370 2607 3950 4345 5214 5925 8690 11850 13035 21725 26070 43450 65175 130350