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2049840 = 243351373
BaseRepresentation
bin111110100011100110000
310212010212000
413310130300
51011043330
6111534000
723265132
oct7643460
93763760
102049840
111180091
1282a300
1356a030
143b5052
152a7560
hex1f4730

2049840 has 160 divisors (see below), whose sum is σ = 7707840. Its totient is φ = 497664.

The previous prime is 2049823. The next prime is 2049847. The reversal of 2049840 is 489402.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (2049847) 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 31 ways as a sum of consecutive naturals, for example, 28044 + ... + 28116.

It is an arithmetic number, because the mean of its divisors is an integer number (48174).

22049840 is an apocalyptic number.

2049840 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 2049840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3853920).

2049840 is an abundant number, since it is smaller than the sum of its proper divisors (5658000).

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

2049840 is a wasteful number, since it uses less digits than its factorization.

2049840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2049840 is about 1431.7262308137. The cubic root of 2049840 is about 127.0301042570.

The spelling of 2049840 in words is "two million, forty-nine thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 27 30 36 39 40 45 48 52 54 60 65 72 73 78 80 90 104 108 117 120 130 135 144 146 156 180 195 208 216 219 234 240 260 270 292 312 351 360 365 390 432 438 468 520 540 584 585 624 657 702 720 730 780 876 936 949 1040 1080 1095 1168 1170 1314 1404 1460 1560 1752 1755 1872 1898 1971 2160 2190 2340 2628 2808 2847 2920 3120 3285 3504 3510 3796 3942 4380 4680 4745 5256 5616 5694 5840 6570 7020 7592 7884 8541 8760 9360 9490 9855 10512 11388 13140 14040 14235 15184 15768 17082 17520 18980 19710 22776 25623 26280 28080 28470 31536 34164 37960 39420 42705 45552 51246 52560 56940 68328 75920 78840 85410 102492 113880 128115 136656 157680 170820 204984 227760 256230 341640 409968 512460 683280 1024920 2049840