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131361060 = 223519611889
BaseRepresentation
bin1111101010001…
…10100100100100
3100011011211111110
413311012210210
5232112023220
621011305020
73153356565
oct765064444
9304154443
10131361060
1168171566
1237bab170
13212a414c
141363616c
15b7ebbe0
hex7d46924

131361060 has 96 divisors (see below), whose sum is σ = 393724800. Its totient is φ = 32624640.

The previous prime is 131361059. The next prime is 131361067. The reversal of 131361060 is 60163131.

It is not an unprimeable number, because it can be changed into a prime (131361067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68596 + ... + 70484.

It is an arithmetic number, because the mean of its divisors is an integer number (4101300).

Almost surely, 2131361060 is an apocalyptic number.

131361060 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 131361060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196862400).

131361060 is an abundant number, since it is smaller than the sum of its proper divisors (262363740).

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

131361060 is a wasteful number, since it uses less digits than its factorization.

131361060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1981 (or 1979 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 131361060 is about 11461.2852682411. The cubic root of 131361060 is about 508.3414789223.

It can be divided in two parts, 13136 and 1060, that added together give a triangular number (14196 = T168).

The spelling of 131361060 in words is "one hundred thirty-one million, three hundred sixty-one thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 61 76 95 114 122 183 190 228 244 285 305 366 380 570 610 732 915 1140 1159 1220 1830 1889 2318 3477 3660 3778 4636 5667 5795 6954 7556 9445 11334 11590 13908 17385 18890 22668 23180 28335 34770 35891 37780 56670 69540 71782 107673 113340 115229 143564 179455 215346 230458 345687 358910 430692 460916 538365 576145 691374 717820 1076730 1152290 1382748 1728435 2153460 2189351 2304580 3456870 4378702 6568053 6913740 8757404 10946755 13136106 21893510 26272212 32840265 43787020 65680530 131361060