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66666132 = 223313103461
BaseRepresentation
bin1111111001001…
…1111010010100
311122102222202000
43332103322110
5114031304012
610340515300
71436436621
oct376237224
9148388660
1066666132
11346a4285
121a3abb30
1310a72220
148bd5348
155cbcddc
hex3f93e94

66666132 has 96 divisors (see below), whose sum is σ = 188348160. Its totient is φ = 20269440.

The previous prime is 66666097. The next prime is 66666133. The reversal of 66666132 is 23166666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66666133) 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, 144382 + ... + 144842.

It is an arithmetic number, because the mean of its divisors is an integer number (1961960).

Almost surely, 266666132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66666132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94174080).

66666132 is an abundant number, since it is smaller than the sum of its proper divisors (121682028).

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

66666132 is a wasteful number, since it uses less digits than its factorization.

66666132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 582 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 66666132 is about 8164.9330676987. The cubic root of 66666132 is about 405.4790490518.

The spelling of 66666132 in words is "sixty-six million, six hundred sixty-six thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 103 108 117 156 206 234 309 351 412 461 468 618 702 922 927 1236 1339 1383 1404 1844 1854 2678 2766 2781 3708 4017 4149 5356 5532 5562 5993 8034 8298 11124 11986 12051 12447 16068 16596 17979 23972 24102 24894 35958 36153 47483 48204 49788 53937 71916 72306 94966 107874 142449 144612 161811 189932 215748 284898 323622 427347 569796 617279 647244 854694 1234558 1282041 1709388 1851837 2469116 2564082 3703674 5128164 5555511 7407348 11111022 16666533 22222044 33333066 66666132