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131422060 = 225711611399
BaseRepresentation
bin1111101010101…
…01011101101100
3100011021221011201
413311111131230
5232121001220
621012455244
73154032460
oct765253554
9304257151
10131422060
1168203380
123801a524
13212c5b43
14136504a0
15b80ed0a
hex7d5576c

131422060 has 96 divisors (see below), whose sum is σ = 349977600. Its totient is φ = 40262400.

The previous prime is 131422043. The next prime is 131422103. The reversal of 131422060 is 60224131.

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, 93241 + ... + 94639.

It is an arithmetic number, because the mean of its divisors is an integer number (3645600).

Almost surely, 2131422060 is an apocalyptic number.

131422060 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 131422060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174988800).

131422060 is an abundant number, since it is smaller than the sum of its proper divisors (218555540).

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

131422060 is a wasteful number, since it uses less digits than its factorization.

131422060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1487 (or 1485 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 131422060 is about 11463.9460919877. The cubic root of 131422060 is about 508.4201527485.

Adding to 131422060 its reverse (60224131), we get a palindrome (191646191).

The spelling of 131422060 in words is "one hundred thirty-one million, four hundred twenty-two thousand, sixty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 61 70 77 110 122 140 154 220 244 305 308 385 427 610 671 770 854 1220 1342 1399 1540 1708 2135 2684 2798 3355 4270 4697 5596 6710 6995 8540 9394 9793 13420 13990 15389 18788 19586 23485 27980 30778 39172 46970 48965 61556 76945 85339 93940 97930 107723 153890 170678 195860 215446 307780 341356 426695 430892 538615 597373 853390 938729 1077230 1194746 1706780 1877458 2154460 2389492 2986865 3754916 4693645 5973730 6571103 9387290 11947460 13142206 18774580 26284412 32855515 65711030 131422060