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66706542 = 23272531427
BaseRepresentation
bin1111111001110…
…1110001101110
311122112001011200
43332131301232
5114034102132
610341430330
71436665500
oct376356156
9148461150
1066706542
1134721681
121a40b3a6
1310a87736
148c05d70
155cc9d7c
hex3f9dc6e

66706542 has 72 divisors (see below), whose sum is σ = 171419976. Its totient is φ = 18686304.

The previous prime is 66706501. The next prime is 66706547. The reversal of 66706542 is 24560766.

It is a junction number, because it is equal to n+sod(n) for n = 66706497 and 66706506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66706547) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 46033 + ... + 47459.

It is an arithmetic number, because the mean of its divisors is an integer number (2380833).

Almost surely, 266706542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66706542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85709988).

66706542 is an abundant number, since it is smaller than the sum of its proper divisors (104713434).

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

66706542 is a wasteful number, since it uses less digits than its factorization.

66706542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1502 (or 1492 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 66706542 is about 8167.4072997494. The cubic root of 66706542 is about 405.5609602026.

The spelling of 66706542 in words is "sixty-six million, seven hundred six thousand, five hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 53 63 98 106 126 147 159 294 318 371 441 477 742 882 954 1113 1427 2226 2597 2854 3339 4281 5194 6678 7791 8562 9989 12843 15582 19978 23373 25686 29967 46746 59934 69923 75631 89901 139846 151262 179802 209769 226893 419538 453786 529417 629307 680679 1058834 1258614 1361358 1588251 3176502 3705919 4764753 7411838 9529506 11117757 22235514 33353271 66706542