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131040 = 25325713
BaseRepresentation
bin11111111111100000
320122202100
4133333200
513143130
62450400
71054020
oct377740
9218670
10131040
118a4a8
1263a00
1347850
1435a80
1528c60
hex1ffe0

131040 has 144 divisors (see below), whose sum is σ = 550368. Its totient is φ = 27648.

The previous prime is 131023. The next prime is 131041. The reversal of 131040 is 40131.

131040 is nontrivially palindromic in base 11.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a nialpdrome in base 2.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131041) by changing a digit.

131040 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 23 ways as a sum of consecutive naturals, for example, 10074 + ... + 10086.

It is an arithmetic number, because the mean of its divisors is an integer number (3822).

2131040 is an apocalyptic number.

131040 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 131040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275184).

131040 is an abundant number, since it is smaller than the sum of its proper divisors (419328).

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

131040 is a wasteful number, since it uses less digits than its factorization.

131040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 131040 is about 361.9944750960. The cubic root of 131040 is about 50.7926994696.

Adding to 131040 its reverse (40131), we get a palindrome (171171).

Subtracting from 131040 its reverse (40131), we obtain a palindrome (90909).

The spelling of 131040 in words is "one hundred thirty-one thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 26 28 30 32 35 36 39 40 42 45 48 52 56 60 63 65 70 72 78 80 84 90 91 96 104 105 112 117 120 126 130 140 144 156 160 168 180 182 195 208 210 224 234 240 252 260 273 280 288 312 315 336 360 364 390 416 420 455 468 480 504 520 546 560 585 624 630 672 720 728 780 819 840 910 936 1008 1040 1092 1120 1170 1248 1260 1365 1440 1456 1560 1638 1680 1820 1872 2016 2080 2184 2340 2520 2730 2912 3120 3276 3360 3640 3744 4095 4368 4680 5040 5460 6240 6552 7280 8190 8736 9360 10080 10920 13104 14560 16380 18720 21840 26208 32760 43680 65520 131040