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1082870010 = 232522952541
BaseRepresentation
bin100000010001011…
…0100100011111010
32210110121111101200
41000202310203322
54204203320020
6255241355030
735556146265
oct10042644372
92713544350
101082870010
115062852a2
12262798a76
131434639b1
14a3b5dcdc
1565100590
hex408b48fa

1082870010 has 48 divisors (see below), whose sum is σ = 2827810440. Its totient is φ = 287498880.

The previous prime is 1082869999. The next prime is 1082870027. The reversal of 1082870010 is 100782801.

It can be written as a sum of positive squares in 4 ways, for example, as 1060088481 + 22781529 = 32559^2 + 4773^2 .

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 5661 + ... + 46880.

Almost surely, 21082870010 is an apocalyptic number.

1082870010 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 1082870010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1413905220).

1082870010 is an abundant number, since it is smaller than the sum of its proper divisors (1744940430).

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

1082870010 is a wasteful number, since it uses less digits than its factorization.

1082870010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52783 (or 52780 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 1082870010 is about 32906.9902908182. The cubic root of 1082870010 is about 1026.8935878674.

The spelling of 1082870010 in words is "one billion, eighty-two million, eight hundred seventy thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 229 458 687 1145 1374 2061 2290 3435 4122 6870 10305 20610 52541 105082 157623 262705 315246 472869 525410 788115 945738 1576230 2364345 4728690 12031889 24063778 36095667 60159445 72191334 108287001 120318890 180478335 216574002 360956670 541435005 1082870010