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882630 = 23357467
BaseRepresentation
bin11010111011111000110
31122211202000
43113133012
5211221010
630530130
710334160
oct3273706
91584660
10882630
11553151
12366946
1324b988
1418d930
151267c0
hexd77c6

882630 has 64 divisors (see below), whose sum is σ = 2695680. Its totient is φ = 201312.

The previous prime is 882617. The next prime is 882631. The reversal of 882630 is 36288.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 882594 and 882603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (882631) by changing a digit.

882630 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 (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1657 + ... + 2123.

It is an arithmetic number, because the mean of its divisors is an integer number (42120).

2882630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 882630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1347840).

882630 is an abundant number, since it is smaller than the sum of its proper divisors (1813050).

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

882630 is a wasteful number, since it uses less digits than its factorization.

882630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 882630 is about 939.4839008732. The cubic root of 882630 is about 95.9237676058.

The spelling of 882630 in words is "eight hundred eighty-two thousand, six hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 189 210 270 315 378 467 630 934 945 1401 1890 2335 2802 3269 4203 4670 6538 7005 8406 9807 12609 14010 16345 19614 21015 25218 29421 32690 42030 49035 58842 63045 88263 98070 126090 147105 176526 294210 441315 882630