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869136 = 24319953
BaseRepresentation
bin11010100001100010000
31122011020020
43110030100
5210303021
630343440
710246632
oct3241420
91564206
10869136
11543aa4
1235ab80
132457a8
14188a52
151227c6
hexd4310

869136 has 40 divisors (see below), whose sum is σ = 2365920. Its totient is φ = 274176.

The previous prime is 869131. The next prime is 869137. The reversal of 869136 is 631968.

It is an Ulam number.

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 869097 and 869106.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 869136.

It is not an unprimeable number, because it can be changed into a prime (869131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 436 + ... + 1388.

It is an arithmetic number, because the mean of its divisors is an integer number (59148).

2869136 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 869136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1182960).

869136 is an abundant number, since it is smaller than the sum of its proper divisors (1496784).

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

869136 is a wasteful number, since it uses less digits than its factorization.

869136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 983 (or 977 counting only the distinct ones).

The product of its digits is 7776, while the sum is 33.

The square root of 869136 is about 932.2746376471. The cubic root of 869136 is about 95.4324147417.

The spelling of 869136 in words is "eight hundred sixty-nine thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 912 953 1906 2859 3812 5718 7624 11436 15248 18107 22872 36214 45744 54321 72428 108642 144856 217284 289712 434568 869136