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961696 = 2541733
BaseRepresentation
bin11101010110010100000
31210212012101
43222302200
5221233241
632340144
711113531
oct3526240
91725171
10961696
115a759a
123a4654
13278968
141b0688
1513ee31
hexeaca0

961696 has 24 divisors (see below), whose sum is σ = 1942164. Its totient is φ = 468480.

The previous prime is 961691. The next prime is 961703. The reversal of 961696 is 696169.

961696 is nontrivially palindromic in base 15.

It can be written as a sum of positive squares in 2 ways, for example, as 960400 + 1296 = 980^2 + 36^2 .

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (961691) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 946 + ... + 1678.

2961696 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 961696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (971082).

961696 is an abundant number, since it is smaller than the sum of its proper divisors (980468).

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

961696 is a wasteful number, since it uses less digits than its factorization.

961696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784 (or 776 counting only the distinct ones).

The product of its digits is 17496, while the sum is 37.

The square root of 961696 is about 980.6610015699. The cubic root of 961696 is about 98.7065417920.

The spelling of 961696 in words is "nine hundred sixty-one thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 32 41 82 164 328 656 733 1312 1466 2932 5864 11728 23456 30053 60106 120212 240424 480848 961696