Search a number
-
+
66571092 = 22337173509
BaseRepresentation
bin1111110111110…
…0101101010100
311122021011101000
43331330231110
5114020233332
610334503300
71435562550
oct375745524
9148234330
1066571092
1134639935
121a364b30
1310a3aba3
148bac860
155c9eb7c
hex3f7cb54

66571092 has 96 divisors (see below), whose sum is σ = 198777600. Its totient is φ = 18873216.

The previous prime is 66571081. The next prime is 66571093. The reversal of 66571092 is 29017566.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66571093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 130534 + ... + 131042.

It is an arithmetic number, because the mean of its divisors is an integer number (2070600).

Almost surely, 266571092 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 66571092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99388800).

66571092 is an abundant number, since it is smaller than the sum of its proper divisors (132206508).

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

66571092 is a wasteful number, since it uses less digits than its factorization.

66571092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 66571092 is about 8159.1109809832. The cubic root of 66571092 is about 405.2862722250.

The spelling of 66571092 in words is "sixty-six million, five hundred seventy-one thousand, ninety-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 173 189 252 346 378 509 519 692 756 1018 1038 1211 1527 1557 2036 2076 2422 3054 3114 3563 3633 4581 4671 4844 6108 6228 7126 7266 9162 9342 10689 10899 13743 14252 14532 18324 18684 21378 21798 27486 32067 32697 42756 43596 54972 64134 65394 88057 96201 128268 130788 176114 192402 264171 352228 384804 528342 616399 792513 1056684 1232798 1585026 1849197 2377539 2465596 3170052 3698394 4755078 5547591 7396788 9510156 11095182 16642773 22190364 33285546 66571092