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961136 = 241143127
BaseRepresentation
bin11101010101001110000
31210211102122
43222221300
5221224021
632333412
711112101
oct3525160
91724378
10961136
115a7130
123a4268
13278627
141b03a8
1513ebab
hexeaa70

961136 has 40 divisors (see below), whose sum is σ = 2095104. Its totient is φ = 423360.

The previous prime is 961133. The next prime is 961139. The reversal of 961136 is 631169.

961136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (961133) and next prime (961139).

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (961133) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7505 + ... + 7631.

2961136 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 961136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1047552).

961136 is an abundant number, since it is smaller than the sum of its proper divisors (1133968).

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

961136 is a wasteful number, since it uses less digits than its factorization.

961136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 183 counting only the distinct ones).

The product of its digits is 972, while the sum is 26.

The square root of 961136 is about 980.3754382888. The cubic root of 961136 is about 98.6873789810.

The spelling of 961136 in words is "nine hundred sixty-one thousand, one hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 43 44 86 88 127 172 176 254 344 473 508 688 946 1016 1397 1892 2032 2794 3784 5461 5588 7568 10922 11176 21844 22352 43688 60071 87376 120142 240284 480568 961136