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960816 = 24337541
BaseRepresentation
bin11101010100100110000
31210210222210
43222210300
5221221231
632332120
711111133
oct3524460
91723883
10960816
115a696a
123a4040
1327843c
141b021a
1513ea46
hexea930

960816 has 40 divisors (see below), whose sum is σ = 2553904. Its totient is φ = 311040.

The previous prime is 960809. The next prime is 960829. The reversal of 960816 is 618069.

It is a plaindrome in base 7.

It is a nialpdrome in base 16.

It is a zygodrome in base 7.

It is an unprimeable number.

960816 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, 1506 + ... + 2046.

2960816 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 960816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1276952).

960816 is an abundant number, since it is smaller than the sum of its proper divisors (1593088).

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

960816 is a wasteful number, since it uses less digits than its factorization.

960816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 960816 is about 980.2122219193. The cubic root of 960816 is about 98.6764254612.

The spelling of 960816 in words is "nine hundred sixty thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 148 222 296 444 541 592 888 1082 1623 1776 2164 3246 4328 6492 8656 12984 20017 25968 40034 60051 80068 120102 160136 240204 320272 480408 960816