Search a number
-
+
66964068 = 22327383307
BaseRepresentation
bin1111111101110…
…0101001100100
311200000010102200
43333130221210
5114120322233
610351134500
71442120343
oct377345144
9150003380
1066964068
1134888106
121a514430
1310b47a12
148c71b5a
155d2b313
hex3fdca64

66964068 has 72 divisors (see below), whose sum is σ = 174222048. Its totient is φ = 21679488.

The previous prime is 66964067. The next prime is 66964081. The reversal of 66964068 is 86046966.

It is not an unprimeable number, because it can be changed into a prime (66964067) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 217971 + ... + 218277.

Almost surely, 266964068 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 66964068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87111024).

66964068 is an abundant number, since it is smaller than the sum of its proper divisors (107257980).

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

66964068 is a wasteful number, since it uses less digits than its factorization.

66964068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 66964068 is about 8183.1575812763. The cubic root of 66964068 is about 406.0821903216.

The spelling of 66964068 in words is "sixty-six million, nine hundred sixty-four thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 73 83 146 166 219 249 292 307 332 438 498 614 657 747 876 921 996 1228 1314 1494 1842 2628 2763 2988 3684 5526 6059 11052 12118 18177 22411 24236 25481 36354 44822 50962 54531 67233 72708 76443 89644 101924 109062 134466 152886 201699 218124 229329 268932 305772 403398 458658 806796 917316 1860113 3720226 5580339 7440452 11160678 16741017 22321356 33482034 66964068