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131070 = 23517257
BaseRepresentation
bin11111111111111110
320122210110
4133333332
513143240
62450450
71054062
oct377776
9218713
10131070
118a525
1263a26
1347874
1435aa2
1528c80
hex1fffe

131070 has 32 divisors (see below), whose sum is σ = 334368. Its totient is φ = 32768.

The previous prime is 131063. The next prime is 131071. The reversal of 131070 is 70131.

131070 is nontrivially palindromic in base 13.

It is a nialpdrome in base 2.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 131070.

It is not an unprimeable number, because it can be changed into a prime (131071) by changing a digit.

In principle, a polygon with 131070 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 382 + ... + 638.

It is an arithmetic number, because the mean of its divisors is an integer number (10449).

2131070 is an apocalyptic number.

131070 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 131070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167184).

131070 is an abundant number, since it is smaller than the sum of its proper divisors (203298).

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

131070 is a wasteful number, since it uses less digits than its factorization.

131070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284.

The product of its (nonzero) digits is 21, while the sum is 12.

The square root of 131070 is about 362.0359098211. The cubic root of 131070 is about 50.7965752956.

The spelling of 131070 in words is "one hundred thirty-one thousand, seventy".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 255 257 510 514 771 1285 1542 2570 3855 4369 7710 8738 13107 21845 26214 43690 65535 131070