Search a number
-
+
130704 = 2437389
BaseRepresentation
bin11111111010010000
320122021220
4133322100
513140304
62445040
71053030
oct377220
9218256
10130704
118a222
1263780
1347652
14358c0
1528ad9
hex1fe90

130704 has 40 divisors (see below), whose sum is σ = 386880. Its totient is φ = 37248.

The previous prime is 130699. The next prime is 130729. The reversal of 130704 is 407031.

It is a congruent number.

It is an unprimeable number.

130704 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 142 + ... + 530.

It is an arithmetic number, because the mean of its divisors is an integer number (9672).

2130704 is an apocalyptic number.

130704 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 130704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193440).

130704 is an abundant number, since it is smaller than the sum of its proper divisors (256176).

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

130704 is a wasteful number, since it uses less digits than its factorization.

130704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 15.

The square root of 130704 is about 361.5300817359. The cubic root of 130704 is about 50.7492497483.

Adding to 130704 its reverse (407031), we get a palindrome (537735).

The spelling of 130704 in words is "one hundred thirty thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 389 778 1167 1556 2334 2723 3112 4668 5446 6224 8169 9336 10892 16338 18672 21784 32676 43568 65352 130704