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881364 = 223112607
BaseRepresentation
bin11010111001011010100
31122210000010
43113023110
5211200424
630520220
710330401
oct3271324
91583003
10881364
11552200
12366070
1324b223
1418d2a8
15126229
hexd72d4

881364 has 36 divisors (see below), whose sum is σ = 2264192. Its totient is φ = 266640.

The previous prime is 881357. The next prime is 881369. The reversal of 881364 is 463188.

It is a happy number.

It is a nialpdrome in base 11.

It is a zygodrome in base 11.

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 881364.

It is not an unprimeable number, because it can be changed into a prime (881369) by changing a digit.

881364 is an untouchable number, because it is not equal to the sum of proper divisors of any 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, 1149 + ... + 1755.

2881364 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 881364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1132096).

881364 is an abundant number, since it is smaller than the sum of its proper divisors (1382828).

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

881364 is a wasteful number, since it uses less digits than its factorization.

881364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636 (or 623 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 881364 is about 938.8098849075. The cubic root of 881364 is about 95.8778829209.

The spelling of 881364 in words is "eight hundred eighty-one thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 242 363 484 607 726 1214 1452 1821 2428 3642 6677 7284 13354 20031 26708 40062 73447 80124 146894 220341 293788 440682 881364