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2842840 = 2357111371
BaseRepresentation
bin1010110110000011011000
312100102122101
422312003120
51211432330
6140533144
733110110
oct12660330
95312571
102842840
111671960
12b511b4
13786c70
14540040
153b24ca
hex2b60d8

2842840 has 128 divisors (see below), whose sum is σ = 8709120. Its totient is φ = 806400.

The previous prime is 2842813. The next prime is 2842843. The reversal of 2842840 is 482482.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 2842799 and 2842808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2842843) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40005 + ... + 40075.

It is an arithmetic number, because the mean of its divisors is an integer number (68040).

22842840 is an apocalyptic number.

2842840 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 2842840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4354560).

2842840 is an abundant number, since it is smaller than the sum of its proper divisors (5866280).

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

2842840 is a wasteful number, since it uses less digits than its factorization.

2842840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

The square root of 2842840 is about 1686.0723590641. The cubic root of 2842840 is about 141.6611639539.

The spelling of 2842840 in words is "two million, eight hundred forty-two thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 11 13 14 20 22 26 28 35 40 44 52 55 56 65 70 71 77 88 91 104 110 130 140 142 143 154 182 220 260 280 284 286 308 355 364 385 440 455 497 520 568 572 616 710 715 728 770 781 910 923 994 1001 1144 1420 1430 1540 1562 1820 1846 1988 2002 2485 2840 2860 3080 3124 3640 3692 3905 3976 4004 4615 4970 5005 5467 5720 6248 6461 7384 7810 8008 9230 9940 10010 10153 10934 12922 15620 18460 19880 20020 20306 21868 25844 27335 31240 32305 36920 40040 40612 43736 50765 51688 54670 64610 71071 81224 101530 109340 129220 142142 203060 218680 258440 284284 355355 406120 568568 710710 1421420 2842840