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66156540 = 223529193197
BaseRepresentation
bin1111110001011…
…1011111111100
311121111002201020
43330113133330
5113414002130
610321544140
71432215132
oct374273774
9147432636
1066156540
113438642a
121a1a5050
13109242a8
148b01752
155c1be10
hex3f177fc

66156540 has 96 divisors (see below), whose sum is σ = 193596480. Its totient is φ = 16859136.

The previous prime is 66156539. The next prime is 66156547. The reversal of 66156540 is 4565166.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66156547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 335722 + ... + 335918.

It is an arithmetic number, because the mean of its divisors is an integer number (2016630).

Almost surely, 266156540 is an apocalyptic number.

66156540 is a gapful number since it is divisible by the number (60) 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 66156540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96798240).

66156540 is an abundant number, since it is smaller than the sum of its proper divisors (127439940).

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

66156540 is a wasteful number, since it uses less digits than its factorization.

66156540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 66156540 is about 8133.6670696556. The cubic root of 66156540 is about 404.4432526789.

The spelling of 66156540 in words is "sixty-six million, one hundred fifty-six thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 174 193 197 290 348 386 394 435 579 580 591 772 788 870 965 985 1158 1182 1740 1930 1970 2316 2364 2895 2955 3860 3940 5597 5713 5790 5910 11194 11426 11580 11820 16791 17139 22388 22852 27985 28565 33582 34278 38021 55970 57130 67164 68556 76042 83955 85695 111940 114063 114260 152084 167910 171390 190105 228126 335820 342780 380210 456252 570315 760420 1102609 1140630 2205218 2281260 3307827 4410436 5513045 6615654 11026090 13231308 16539135 22052180 33078270 66156540