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130000 = 245413
BaseRepresentation
bin11111101111010000
320121022211
4133233100
513130000
62441504
71051003
oct375720
9217284
10130000
1189742
1263294
1347230
143553a
15287ba
hex1fbd0

130000 has 50 divisors (see below), whose sum is σ = 338954. Its totient is φ = 48000.

The previous prime is 129971. The next prime is 130003. The reversal of 130000 is 31.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 76176 + 53824 = 276^2 + 232^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a Harshad number since it is a multiple of its sum of digits (4).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130003) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 9994 + ... + 10006.

2130000 is an apocalyptic number.

130000 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 130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169477).

130000 is an abundant number, since it is smaller than the sum of its proper divisors (208954).

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

130000 is an equidigital number, since it uses as much as digits as its factorization.

130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41 (or 20 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 4.

The square root of 130000 is about 360.5551275464. Note that the first 3 decimals coincide. The cubic root of 130000 is about 50.6579701910.

Adding to 130000 its reverse (31), we get a palindrome (130031).

The spelling of 130000 in words is "one hundred thirty thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 125 130 200 208 250 260 325 400 500 520 625 650 1000 1040 1250 1300 1625 2000 2500 2600 3250 5000 5200 6500 8125 10000 13000 16250 26000 32500 65000 130000