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766064 = 241329127
BaseRepresentation
bin10111011000001110000
31102220211202
42323001300
5144003224
624230332
76340265
oct2730160
91386752
10766064
11483612
1230b3a8
1320a8c0
1415d26c
15101eae
hexbb070

766064 has 40 divisors (see below), whose sum is σ = 1666560. Its totient is φ = 338688.

The previous prime is 766049. The next prime is 766067. The reversal of 766064 is 460667.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (766067) by changing a digit.

766064 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5969 + ... + 6095.

It is an arithmetic number, because the mean of its divisors is an integer number (41664).

2766064 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 766064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833280).

766064 is an abundant number, since it is smaller than the sum of its proper divisors (900496).

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

766064 is a wasteful number, since it uses less digits than its factorization.

766064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 29.

The square root of 766064 is about 875.2508211936. The cubic root of 766064 is about 91.5001244188.

The spelling of 766064 in words is "seven hundred sixty-six thousand, sixty-four".

Divisors: 1 2 4 8 13 16 26 29 52 58 104 116 127 208 232 254 377 464 508 754 1016 1508 1651 2032 3016 3302 3683 6032 6604 7366 13208 14732 26416 29464 47879 58928 95758 191516 383032 766064