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130424 = 23717137
BaseRepresentation
bin11111110101111000
320121220112
4133311320
513133144
62443452
71052150
oct376570
9217815
10130424
1189a98
1263588
1347498
1435760
152899e
hex1fd78

130424 has 32 divisors (see below), whose sum is σ = 298080. Its totient is φ = 52224.

The previous prime is 130423. The next prime is 130439. The reversal of 130424 is 424031.

130424 is nontrivially palindromic in base 11.

130424 is an esthetic number in base 11, because in such base its adjacent digits differ by 1.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a plaindrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 130399 and 130408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130423) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 884 + ... + 1020.

It is an arithmetic number, because the mean of its divisors is an integer number (9315).

2130424 is an apocalyptic number.

130424 is a gapful number since it is divisible by the number (14) 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 130424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149040).

130424 is an abundant number, since it is smaller than the sum of its proper divisors (167656).

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

130424 is a wasteful number, since it uses less digits than its factorization.

130424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 130424 is about 361.1426311030. The cubic root of 130424 is about 50.7129847297.

130424 divided by its sum of digits (14) gives a triangular number (9316 = T136).

Adding to 130424 its reverse (424031), we get a palindrome (554455).

The spelling of 130424 in words is "one hundred thirty thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 119 136 137 238 274 476 548 952 959 1096 1918 2329 3836 4658 7672 9316 16303 18632 32606 65212 130424