Search a number
-
+
961140 = 223583193
BaseRepresentation
bin11101010101001110100
31210211102210
43222221310
5221224030
632333420
711112105
oct3525164
91724383
10961140
115a7134
123a4270
1327862b
141b03ac
1513ebb0
hexeaa74

961140 has 48 divisors (see below), whose sum is σ = 2737728. Its totient is φ = 251904.

The previous prime is 961139. The next prime is 961141. The reversal of 961140 is 41169.

It is an interprime number because it is at equal distance from previous prime (961139) and next prime (961141).

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 (961141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4884 + ... + 5076.

It is an arithmetic number, because the mean of its divisors is an integer number (57036).

2961140 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 961140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1368864).

961140 is an abundant number, since it is smaller than the sum of its proper divisors (1776588).

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

961140 is a wasteful number, since it uses less digits than its factorization.

961140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 961140 is about 980.3774783215. The cubic root of 961140 is about 98.6875158846.

The spelling of 961140 in words is "nine hundred sixty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 83 166 193 249 332 386 415 498 579 772 830 965 996 1158 1245 1660 1930 2316 2490 2895 3860 4980 5790 11580 16019 32038 48057 64076 80095 96114 160190 192228 240285 320380 480570 961140