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1082000790 = 2325131948673
BaseRepresentation
bin100000001111110…
…0000010110010110
32210101222100001100
41000133200112112
54203443011130
6255211010530
735545566153
oct10037402626
92711870040
101082000790
11505841232
12262439a46
1314321b170
14a39b522a
1564eccc60
hex407e0596

1082000790 has 96 divisors (see below), whose sum is σ = 3189120480. Its totient is φ = 252315648.

The previous prime is 1082000789. The next prime is 1082000791. The reversal of 1082000790 is 970002801.

It is an interprime number because it is at equal distance from previous prime (1082000789) and next prime (1082000791).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1082000791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2107 + ... + 46566.

It is an arithmetic number, because the mean of its divisors is an integer number (33220005).

Almost surely, 21082000790 is an apocalyptic number.

1082000790 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1082000790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1594560240).

1082000790 is an abundant number, since it is smaller than the sum of its proper divisors (2107119690).

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

1082000790 is a wasteful number, since it uses less digits than its factorization.

1082000790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48718 (or 48715 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 1082000790 is about 32893.7804151484. The cubic root of 1082000790 is about 1026.6187517461.

The spelling of 1082000790 in words is "one billion, eighty-two million, seven hundred ninety", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 13 15 18 19 26 30 38 39 45 57 65 78 90 95 114 117 130 171 190 195 234 247 285 342 390 494 570 585 741 855 1170 1235 1482 1710 2223 2470 3705 4446 7410 11115 22230 48673 97346 146019 243365 292038 438057 486730 632749 730095 876114 924787 1265498 1460190 1849574 1898247 2190285 2774361 3163745 3796494 4380570 4623935 5548722 5694741 6327490 8323083 9247870 9491235 11389482 12022231 13871805 16646166 18982470 24044462 27743610 28473705 36066693 41615415 56947410 60111155 72133386 83230830 108200079 120222310 180333465 216400158 360666930 541000395 1082000790