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131542260 = 223517294447
BaseRepresentation
bin1111101011100…
…10110011110100
3100011112001001120
413311302303310
5232133323020
621015223540
73155043063
oct765626364
9304461046
10131542260
1168285713
1238077bb0
1321338775
14136821da
15b835740
hex7d72cf4

131542260 has 96 divisors (see below), whose sum is σ = 403522560. Its totient is φ = 31868928.

The previous prime is 131542259. The next prime is 131542297. The reversal of 131542260 is 62245131.

It is a self number, because there is not a number n which added to its sum of digits gives 131542260.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27357 + ... + 31803.

It is an arithmetic number, because the mean of its divisors is an integer number (4203360).

Almost surely, 2131542260 is an apocalyptic number.

131542260 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 131542260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201761280).

131542260 is an abundant number, since it is smaller than the sum of its proper divisors (271980300).

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

131542260 is a wasteful number, since it uses less digits than its factorization.

131542260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4505 (or 4503 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 131542260 is about 11469.1874167266. The cubic root of 131542260 is about 508.5751076588.

Adding to 131542260 its reverse (62245131), we get a palindrome (193787391).

The spelling of 131542260 in words is "one hundred thirty-one million, five hundred forty-two thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 29 30 34 51 58 60 68 85 87 102 116 145 170 174 204 255 290 340 348 435 493 510 580 870 986 1020 1479 1740 1972 2465 2958 4447 4930 5916 7395 8894 9860 13341 14790 17788 22235 26682 29580 44470 53364 66705 75599 88940 128963 133410 151198 226797 257926 266820 302396 377995 386889 453594 515852 644815 755990 773778 907188 1133985 1289630 1511980 1547556 1934445 2192371 2267970 2579260 3868890 4384742 4535940 6577113 7737780 8769484 10961855 13154226 21923710 26308452 32885565 43847420 65771130 131542260