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842240 = 295747
BaseRepresentation
bin11001101101000000000
31120210100002
43031220000
5203422430
630015132
710105340
oct3155000
91523302
10842240
11525873
123474a8
13236489
1417cd20
15119845
hexcda00

842240 has 80 divisors (see below), whose sum is σ = 2356992. Its totient is φ = 282624.

The previous prime is 842209. The next prime is 842249. The reversal of 842240 is 42248.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (842249) 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, 17897 + ... + 17943.

2842240 is an apocalyptic number.

842240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 842240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1178496).

842240 is an abundant number, since it is smaller than the sum of its proper divisors (1514752).

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

842240 is an equidigital number, since it uses as much as digits as its factorization.

842240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 842240 is about 917.7363455808. The cubic root of 842240 is about 94.4376752806.

Adding to 842240 its reverse (42248), we get a palindrome (884488).

The spelling of 842240 in words is "eight hundred forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 47 56 64 70 80 94 112 128 140 160 188 224 235 256 280 320 329 376 448 470 512 560 640 658 752 896 940 1120 1280 1316 1504 1645 1792 1880 2240 2560 2632 3008 3290 3584 3760 4480 5264 6016 6580 7520 8960 10528 12032 13160 15040 17920 21056 24064 26320 30080 42112 52640 60160 84224 105280 120320 168448 210560 421120 842240