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131331240 = 23335277439
BaseRepresentation
bin1111101001111…
…11010010101000
3100011010022121000
413310333102220
5232110044430
621010515000
73153203625
oct764772250
9304108530
10131331240
1168151117
1237b95a60
13212936c1
141362934c
15b7e2e60
hex7d3f4a8

131331240 has 128 divisors (see below), whose sum is σ = 440352000. Its totient is φ = 34815744.

The previous prime is 131331229. The next prime is 131331269. The reversal of 131331240 is 42133131.

131331240 is a `hidden beast` number, since 1 + 313 + 312 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 298941 + ... + 299379.

It is an arithmetic number, because the mean of its divisors is an integer number (3440250).

Almost surely, 2131331240 is an apocalyptic number.

131331240 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 131331240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220176000).

131331240 is an abundant number, since it is smaller than the sum of its proper divisors (309020760).

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

131331240 is a wasteful number, since it uses less digits than its factorization.

131331240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 131331240 is about 11459.9842931830. The cubic root of 131331240 is about 508.3030101653.

Adding to 131331240 its reverse (42133131), we get a palindrome (173464371).

The spelling of 131331240 in words is "one hundred thirty-one million, three hundred thirty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 277 360 439 540 554 831 878 1080 1108 1317 1385 1662 1756 2195 2216 2493 2634 2770 3324 3512 3951 4155 4390 4986 5268 5540 6585 6648 7479 7902 8310 8780 9972 10536 11080 11853 12465 13170 14958 15804 16620 17560 19755 19944 23706 24930 26340 29916 31608 33240 37395 39510 47412 49860 52680 59265 59832 74790 79020 94824 99720 118530 121603 149580 158040 237060 243206 299160 364809 474120 486412 608015 729618 972824 1094427 1216030 1459236 1824045 2188854 2432060 2918472 3283281 3648090 4377708 4864120 5472135 6566562 7296180 8755416 10944270 13133124 14592360 16416405 21888540 26266248 32832810 43777080 65665620 131331240