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1082680088 = 237217374391
BaseRepresentation
bin100000010001000…
…0110001100011000
32210110020211212112
41000202012030120
54204131230323
6255233331452
735554425500
oct10042061430
92713224775
101082680088
11506165636
12262706b88
131433c8409
14a3b10a00
15650b4178
hex40886318

1082680088 has 96 divisors (see below), whose sum is σ = 2568529440. Its totient is φ = 424811520.

The previous prime is 1082680087. The next prime is 1082680099. The reversal of 1082680088 is 8800862801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1082680087) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 244373 + ... + 248763.

It is an arithmetic number, because the mean of its divisors is an integer number (26755515).

Almost surely, 21082680088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1082680088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1284264720).

1082680088 is an abundant number, since it is smaller than the sum of its proper divisors (1485849352).

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

1082680088 is a wasteful number, since it uses less digits than its factorization.

1082680088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4465 (or 4454 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 41.

The square root of 1082680088 is about 32904.1044248282. The cubic root of 1082680088 is about 1026.8335495479.

The spelling of 1082680088 in words is "one billion, eighty-two million, six hundred eighty thousand, eighty-eight".

Divisors: 1 2 4 7 8 14 17 28 34 37 49 56 68 74 98 119 136 148 196 238 259 296 392 476 518 629 833 952 1036 1258 1666 1813 2072 2516 3332 3626 4391 4403 5032 6664 7252 8782 8806 14504 17564 17612 30737 30821 35128 35224 61474 61642 74647 122948 123284 149294 162467 215159 245896 246568 298588 324934 430318 522529 597176 649868 860636 1045058 1137269 1299736 1721272 2090116 2274538 2761939 3657703 4180232 4549076 5523878 7315406 7960883 9098152 11047756 14630812 15921766 19333573 22095512 29261624 31843532 38667146 63687064 77334292 135335011 154668584 270670022 541340044 1082680088