Search a number
-
+
66604356 = 2236713251
BaseRepresentation
bin1111111000010…
…0110101000100
311122022212000000
43332010311010
5114022314411
610335321300
71436061540
oct376046504
9148285000
1066604356
1134661925
121a380230
1310a50080
148bbaa20
155ca9956
hex3f84d44

66604356 has 168 divisors, whose sum is σ = 215941824. Its totient is φ = 17496000.

The previous prime is 66604339. The next prime is 66604409. The reversal of 66604356 is 65340666.

66604356 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×666043562 = 8872280476349472, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 66604356.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 265231 + ... + 265481.

It is an arithmetic number, because the mean of its divisors is an integer number (1285368).

Almost surely, 266604356 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 66604356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107970912).

66604356 is an abundant number, since it is smaller than the sum of its proper divisors (149337468).

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

66604356 is a wasteful number, since it uses less digits than its factorization.

66604356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 66604356 is about 8161.1491837853. The cubic root of 66604356 is about 405.3537649726.

The spelling of 66604356 in words is "sixty-six million, six hundred four thousand, three hundred fifty-six".