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966328 = 231179139
BaseRepresentation
bin11101011111010111000
31211002112221
43223322320
5221410303
632413424
711133166
oct3537270
91732487
10966328
11600020
123a7274
1327aabc
141b2236
151414bd
hexebeb8

966328 has 32 divisors (see below), whose sum is σ = 2016000. Its totient is φ = 430560.

The previous prime is 966323. The next prime is 966337. The reversal of 966328 is 823669.

It is a happy number.

It is a plaindrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 966293 and 966302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (966323) by changing a digit.

966328 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 7 ways as a sum of consecutive naturals, for example, 6883 + ... + 7021.

It is an arithmetic number, because the mean of its divisors is an integer number (63000).

2966328 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 966328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1008000).

966328 is an abundant number, since it is smaller than the sum of its proper divisors (1049672).

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

966328 is a wasteful number, since it uses less digits than its factorization.

966328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 231 counting only the distinct ones).

The product of its digits is 15552, while the sum is 34.

The square root of 966328 is about 983.0198370328. The cubic root of 966328 is about 98.8647610949.

The spelling of 966328 in words is "nine hundred sixty-six thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 11 22 44 79 88 139 158 278 316 556 632 869 1112 1529 1738 3058 3476 6116 6952 10981 12232 21962 43924 87848 120791 241582 483164 966328