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131248260 = 2232511135099
BaseRepresentation
bin1111101001010…
…11000010000100
3100010222002202200
413310223002010
5232044421020
621005034500
73152406663
oct764530204
9303862680
10131248260
11680a4840
1237b55a30
13212649c0
1413606dda
15b7c8590
hex7d2b084

131248260 has 144 divisors (see below), whose sum is σ = 467812800. Its totient is φ = 29364480.

The previous prime is 131248259. The next prime is 131248267. The reversal of 131248260 is 62842131.

It is a super-2 number, since 2×1312482602 = 34452211506055200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131248267) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23191 + ... + 28289.

It is an arithmetic number, because the mean of its divisors is an integer number (3248700).

Almost surely, 2131248260 is an apocalyptic number.

131248260 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 131248260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233906400).

131248260 is an abundant number, since it is smaller than the sum of its proper divisors (336564540).

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

131248260 is a wasteful number, since it uses less digits than its factorization.

131248260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5138 (or 5133 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 131248260 is about 11456.3632973121. The cubic root of 131248260 is about 508.1959326456.

The spelling of 131248260 in words is "one hundred thirty-one million, two hundred forty-eight thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 11 12 13 15 18 20 22 26 30 33 36 39 44 45 52 55 60 65 66 78 90 99 110 117 130 132 143 156 165 180 195 198 220 234 260 286 330 390 396 429 468 495 572 585 660 715 780 858 990 1170 1287 1430 1716 1980 2145 2340 2574 2860 4290 5099 5148 6435 8580 10198 12870 15297 20396 25495 25740 30594 45891 50990 56089 61188 66287 76485 91782 101980 112178 132574 152970 168267 183564 198861 224356 229455 265148 280445 305940 331435 336534 397722 458910 504801 560890 596583 662870 673068 729157 795444 841335 917820 994305 1009602 1121780 1193166 1325740 1458314 1682670 1988610 2019204 2187471 2386332 2524005 2916628 2982915 3365340 3645785 3977220 4374942 5048010 5965830 6562413 7291570 8749884 10096020 10937355 11931660 13124826 14583140 21874710 26249652 32812065 43749420 65624130 131248260