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66135342 = 23713592053
BaseRepresentation
bin1111110001001…
…0010100101110
311121110000122010
43330102110232
5113412312332
610321302050
71432066260
oct374222456
9147400563
1066135342
1134371509
121a194926
1310917750
148ad7b30
155c159cc
hex3f1252e

66135342 has 64 divisors (see below), whose sum is σ = 165634560. Its totient is φ = 17138304.

The previous prime is 66135331. The next prime is 66135343. The reversal of 66135342 is 24353166.

It is a super-2 number, since 2×661353422 = 8747766922913928, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66135343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31188 + ... + 33240.

It is an arithmetic number, because the mean of its divisors is an integer number (2588040).

Almost surely, 266135342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66135342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82817280).

66135342 is an abundant number, since it is smaller than the sum of its proper divisors (99499218).

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

66135342 is a wasteful number, since it uses less digits than its factorization.

66135342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2137.

The product of its digits is 12960, while the sum is 30.

The square root of 66135342 is about 8132.3638629860. The cubic root of 66135342 is about 404.4000505811.

The spelling of 66135342 in words is "sixty-six million, one hundred thirty-five thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 59 78 91 118 177 182 273 354 413 546 767 826 1239 1534 2053 2301 2478 4106 4602 5369 6159 10738 12318 14371 16107 26689 28742 32214 43113 53378 80067 86226 121127 160134 186823 242254 363381 373646 560469 726762 847889 1120938 1574651 1695778 2543667 3149302 4723953 5087334 9447906 11022557 22045114 33067671 66135342