Search a number
-
+
1082842880 = 2857177109
BaseRepresentation
bin100000010001010…
…1101111100000000
32210110120010011212
41000202231330000
54204201433010
6255241025252
735556004220
oct10042557400
92713503155
101082842880
11506266979
12262785228
13143454542
14a3b54080
15650e7505
hex408adf00

1082842880 has 144 divisors (see below), whose sum is σ = 3139093440. Its totient is φ = 349372416.

The previous prime is 1082842879. The next prime is 1082842883. The reversal of 1082842880 is 882482801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1082842883) 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 15 ways as a sum of consecutive naturals, for example, 148766 + ... + 155874.

It is an arithmetic number, because the mean of its divisors is an integer number (21799260).

Almost surely, 21082842880 is an apocalyptic number.

1082842880 is a gapful number since it is divisible by the number (10) 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 1082842880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1569546720).

1082842880 is an abundant number, since it is smaller than the sum of its proper divisors (2056250560).

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

1082842880 is an equidigital number, since it uses as much as digits as its factorization.

1082842880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7154 (or 7140 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 41.

The square root of 1082842880 is about 32906.5780657910. The cubic root of 1082842880 is about 1026.8850119363.

The spelling of 1082842880 in words is "one billion, eighty-two million, eight hundred forty-two thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 32 34 35 40 56 64 68 70 80 85 112 119 128 136 140 160 170 224 238 256 272 280 320 340 448 476 544 560 595 640 680 896 952 1088 1120 1190 1280 1360 1792 1904 2176 2240 2380 2720 3808 4352 4480 4760 5440 7109 7616 8960 9520 10880 14218 15232 19040 21760 28436 30464 35545 38080 49763 56872 71090 76160 99526 113744 120853 142180 152320 199052 227488 241706 248815 284360 398104 454976 483412 497630 568720 604265 796208 845971 909952 966824 995260 1137440 1208530 1592416 1691942 1819904 1933648 1990520 2274880 2417060 3184832 3383884 3867296 3981040 4229855 4549760 4834120 6369664 6767768 7734592 7962080 8459710 9099520 9668240 12739328 13535536 15469184 15924160 16919420 19336480 27071072 30938368 31848320 33838840 38672960 54142144 63696640 67677680 77345920 108284288 135355360 154691840 216568576 270710720 541421440 1082842880