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1082012148 = 223372575569
BaseRepresentation
bin100000001111110…
…0011000111110100
32210101222220122000
41000133203013310
54203443342043
6255211135300
735545644240
oct10037430764
92711886560
101082012148
11505849818
12262444530
13143223399
14a39b9420
1564ed12d3
hex407e31f4

1082012148 has 96 divisors (see below), whose sum is σ = 3219014400. Its totient is φ = 307888128.

The previous prime is 1082012143. The next prime is 1082012159. The reversal of 1082012148 is 8412102801.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1082012143) 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, 191508 + ... + 197076.

It is an arithmetic number, because the mean of its divisors is an integer number (33531400).

Almost surely, 21082012148 is an apocalyptic number.

1082012148 is a gapful number since it is divisible by the number (18) 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 1082012148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1609507200).

1082012148 is an abundant number, since it is smaller than the sum of its proper divisors (2137002252).

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

1082012148 is a wasteful number, since it uses less digits than its factorization.

1082012148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5846 (or 5838 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 1082012148 is about 32893.9530613151. The cubic root of 1082012148 is about 1026.6223439478.

Adding to 1082012148 its reverse (8412102801), we get a palindrome (9494114949).

The spelling of 1082012148 in words is "one billion, eighty-two million, twelve thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 257 378 514 756 771 1028 1542 1799 2313 3084 3598 4626 5397 5569 6939 7196 9252 10794 11138 13878 16191 16707 21588 22276 27756 32382 33414 38983 48573 50121 64764 66828 77966 97146 100242 116949 150363 155932 194292 200484 233898 300726 350847 467796 601452 701694 1052541 1403388 1431233 2105082 2862466 4210164 4293699 5724932 8587398 10018631 12881097 17174796 20037262 25762194 30055893 38643291 40074524 51524388 60111786 77286582 90167679 120223572 154573164 180335358 270503037 360670716 541006074 1082012148