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131320 = 2357267
BaseRepresentation
bin100000000011111000
320200010201
4200003320
513200240
62451544
71054600
oct400370
9220121
10131320
118a732
1263bb4
1347a07
1435c00
1528d9a
hex200f8

131320 has 48 divisors (see below), whose sum is σ = 348840. Its totient is φ = 44352.

The previous prime is 131317. The next prime is 131321. The reversal of 131320 is 23131.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a d-powerful number, because it can be written as 1 + 3 + 35 + 1 + 217 + 0 .

It is a junction number, because it is equal to n+sod(n) for n = 131297 and 131306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1927 + ... + 1993.

2131320 is an apocalyptic number.

131320 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 131320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174420).

131320 is an abundant number, since it is smaller than the sum of its proper divisors (217520).

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

131320 is a wasteful number, since it uses less digits than its factorization.

131320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 131320 is about 362.3810149553. The cubic root of 131320 is about 50.8288508693.

Adding to 131320 its reverse (23131), we get a palindrome (154451).

The spelling of 131320 in words is "one hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 67 70 98 134 140 196 245 268 280 335 392 469 490 536 670 938 980 1340 1876 1960 2345 2680 3283 3752 4690 6566 9380 13132 16415 18760 26264 32830 65660 131320