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131665060 = 225193111177
BaseRepresentation
bin1111101100100…
…00110010100100
3100011202021111201
413312100302210
5232201240220
621022012244
73156064102
oct766206244
9304667451
10131665060
11683599aa
1238117084
132137c627
14136b4c72
15b85bd0a
hex7d90ca4

131665060 has 48 divisors (see below), whose sum is σ = 300464640. Its totient is φ = 48280320.

The previous prime is 131665057. The next prime is 131665069. The reversal of 131665060 is 60566131.

It is not an unprimeable number, because it can be changed into a prime (131665069) 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 15 ways as a sum of consecutive naturals, for example, 6192 + ... + 17368.

It is an arithmetic number, because the mean of its divisors is an integer number (6259680).

Almost surely, 2131665060 is an apocalyptic number.

131665060 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 131665060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150232320).

131665060 is an abundant number, since it is smaller than the sum of its proper divisors (168799580).

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

131665060 is a wasteful number, since it uses less digits than its factorization.

131665060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11236 (or 11234 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 28.

The square root of 131665060 is about 11474.5396421817. The cubic root of 131665060 is about 508.7333168892.

The spelling of 131665060 in words is "one hundred thirty-one million, six hundred sixty-five thousand, sixty".

Divisors: 1 2 4 5 10 19 20 31 38 62 76 95 124 155 190 310 380 589 620 1178 2356 2945 5890 11177 11780 22354 44708 55885 111770 212363 223540 346487 424726 692974 849452 1061815 1385948 1732435 2123630 3464870 4247260 6583253 6929740 13166506 26333012 32916265 65832530 131665060