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842320 = 24510529
BaseRepresentation
bin11001101101001010000
31120210110001
43031221100
5203423240
630015344
710105513
oct3155120
91523401
10842320
11525936
12347554
1323651b
1417cd7a
1511989a
hexcda50

842320 has 20 divisors (see below), whose sum is σ = 1958580. Its totient is φ = 336896.

The previous prime is 842311. The next prime is 842321. The reversal of 842320 is 23248.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 501264 + 341056 = 708^2 + 584^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (842321) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5185 + ... + 5344.

It is an arithmetic number, because the mean of its divisors is an integer number (97929).

2842320 is an apocalyptic number.

842320 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

842320 is an abundant number, since it is smaller than the sum of its proper divisors (1116260).

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

842320 is a wasteful number, since it uses less digits than its factorization.

842320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10542 (or 10536 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 842320 is about 917.7799300486. The cubic root of 842320 is about 94.4406652339.

Adding to 842320 its reverse (23248), we get a palindrome (865568).

The spelling of 842320 in words is "eight hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 10529 21058 42116 52645 84232 105290 168464 210580 421160 842320