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881136 = 243229211
BaseRepresentation
bin11010111000111110000
31122202200200
43113013300
5211144021
630515200
710326624
oct3270760
91582620
10881136
11552013
12365b00
1324b0a9
1418d184
15126126
hexd71f0

881136 has 60 divisors (see below), whose sum is σ = 2563080. Its totient is φ = 282240.

The previous prime is 881119. The next prime is 881141. The reversal of 881136 is 631188.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 4071 + ... + 4281.

It is an arithmetic number, because the mean of its divisors is an integer number (42718).

2881136 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 881136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1281540).

881136 is an abundant number, since it is smaller than the sum of its proper divisors (1681944).

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

881136 is a wasteful number, since it uses less digits than its factorization.

881136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 245 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 881136 is about 938.6884467170. The cubic root of 881136 is about 95.8696146600.

Adding to 881136 its product of digits (1152), we get a palindrome (882288).

The spelling of 881136 in words is "eight hundred eighty-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 211 232 261 348 422 464 522 633 696 844 1044 1266 1392 1688 1899 2088 2532 3376 3798 4176 5064 6119 7596 10128 12238 15192 18357 24476 30384 36714 48952 55071 73428 97904 110142 146856 220284 293712 440568 881136