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981136 = 24135389
BaseRepresentation
bin11101111100010010000
31211211212101
43233202100
5222344021
633010144
711224312
oct3574220
91754771
10981136
11610162
123b3954
13284770
141b77b2
15145a91
hexef890

981136 has 40 divisors (see below), whose sum is σ = 2109240. Its totient is φ = 439296.

The previous prime is 981133. The next prime is 981137. The reversal of 981136 is 631189.

It is a happy number.

981136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 20736 + 960400 = 144^2 + 980^2 .

It is not an unprimeable number, because it can be changed into a prime (981133) 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, 10980 + ... + 11068.

It is an arithmetic number, because the mean of its divisors is an integer number (52731).

2981136 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 981136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1054620).

981136 is an abundant number, since it is smaller than the sum of its proper divisors (1128104).

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

981136 is a wasteful number, since it uses less digits than its factorization.

981136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 157 counting only the distinct ones).

The product of its digits is 1296, while the sum is 28.

The square root of 981136 is about 990.5230941275. The cubic root of 981136 is about 99.3672041404.

The spelling of 981136 in words is "nine hundred eighty-one thousand, one hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 52 53 89 104 106 178 208 212 356 424 689 712 848 1157 1378 1424 2314 2756 4628 4717 5512 9256 9434 11024 18512 18868 37736 61321 75472 122642 245284 490568 981136