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2803920 = 243571669
BaseRepresentation
bin1010101100100011010000
312021110020220
422230203100
51204211140
6140033040
732555460
oct12544320
95243226
102803920
111645699
12b32780
13772332
1452dba0
153a5bd0
hex2ac8d0

2803920 has 80 divisors (see below), whose sum is σ = 9939840. Its totient is φ = 640512.

The previous prime is 2803909. The next prime is 2803937. The reversal of 2803920 is 293082.

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 (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 846 + ... + 2514.

It is an arithmetic number, because the mean of its divisors is an integer number (124248).

22803920 is an apocalyptic number.

2803920 is a gapful number since it is divisible by the number (20) 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 2803920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4969920).

2803920 is an abundant number, since it is smaller than the sum of its proper divisors (7135920).

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

2803920 is a wasteful number, since it uses less digits than its factorization.

2803920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1692 (or 1686 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 2803920 is about 1674.4909674286. The cubic root of 2803920 is about 141.0117187584.

The spelling of 2803920 in words is "two million, eight hundred three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1669 1680 3338 5007 6676 8345 10014 11683 13352 16690 20028 23366 25035 26704 33380 35049 40056 46732 50070 58415 66760 70098 80112 93464 100140 116830 133520 140196 175245 186928 200280 233660 280392 350490 400560 467320 560784 700980 934640 1401960 2803920