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961038 = 23313372
BaseRepresentation
bin11101010101000001110
31210211022000
43222220032
5221223123
632333130
711111601
oct3525016
91724260
10961038
115a7051
123a41a6
13278580
141b0338
1513eb43
hexeaa0e

961038 has 48 divisors (see below), whose sum is σ = 2363760. Its totient is φ = 287712.

The previous prime is 961033. The next prime is 961063. The reversal of 961038 is 830169.

961038 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 961038.

It is not an unprimeable number, because it can be changed into a prime (961033) by changing a digit.

It is a Kaprekar number, because its square (923594037444) can be partitioned into two parts whose sum is 961038.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25956 + ... + 25992.

It is an arithmetic number, because the mean of its divisors is an integer number (49245).

2961038 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 961038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1181880).

961038 is an abundant number, since it is smaller than the sum of its proper divisors (1402722).

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

961038 is a wasteful number, since it uses less digits than its factorization.

961038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 961038 is about 980.3254561624. The cubic root of 961038 is about 98.6840247239.

The spelling of 961038 in words is "nine hundred sixty-one thousand, thirty-eight".