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966064 = 24112499
BaseRepresentation
bin11101011110110110000
31211002012011
43223312300
5221403224
632412304
711132341
oct3536660
91732164
10966064
115aa900
123a7094
1327a948
141b20c8
15141394
hexebdb0

966064 has 30 divisors (see below), whose sum is σ = 2061500. Its totient is φ = 438240.

The previous prime is 966041. The next prime is 966109. The reversal of 966064 is 460669.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1687 + ... + 2185.

2966064 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 966064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1030750).

966064 is an abundant number, since it is smaller than the sum of its proper divisors (1095436).

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

966064 is a wasteful number, since it uses less digits than its factorization.

966064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

The square root of 966064 is about 982.8855477623. The cubic root of 966064 is about 98.8557570183.

The spelling of 966064 in words is "nine hundred sixty-six thousand, sixty-four".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 499 968 998 1936 1996 3992 5489 7984 10978 21956 43912 60379 87824 120758 241516 483032 966064