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842720 = 25523229
BaseRepresentation
bin11001101101111100000
31120210222212
43031233200
5203431340
630021252
710106624
oct3155740
91523885
10842720
1152616a
12347828
13236768
1417d184
15119a65
hexcdbe0

842720 has 48 divisors (see below), whose sum is σ = 2086560. Its totient is φ = 321024.

The previous prime is 842701. The next prime is 842729. The reversal of 842720 is 27248.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (842729) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 3566 + ... + 3794.

It is an arithmetic number, because the mean of its divisors is an integer number (43470).

2842720 is an apocalyptic number.

842720 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 842720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1043280).

842720 is an abundant number, since it is smaller than the sum of its proper divisors (1243840).

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

842720 is a wasteful number, since it uses less digits than its factorization.

842720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 23.

The square root of 842720 is about 917.9978213482. The cubic root of 842720 is about 94.4556121614.

Adding to 842720 its reverse (27248), we get a palindrome (869968).

The spelling of 842720 in words is "eight hundred forty-two thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 80 92 115 160 184 229 230 368 458 460 736 916 920 1145 1832 1840 2290 3664 3680 4580 5267 7328 9160 10534 18320 21068 26335 36640 42136 52670 84272 105340 168544 210680 421360 842720