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1082100208 = 24741713319
BaseRepresentation
bin100000001111111…
…1000100111110000
32210102011101102111
41000133320213300
54204004201313
6255213055104
735546462050
oct10037704760
92712141374
101082100208
115058a99a2
12262487494
131432544a7
14a39dd560
1564eec43d
hex407f89f0

1082100208 has 80 divisors (see below), whose sum is σ = 2489840640. Its totient is φ = 445939200.

The previous prime is 1082100191. The next prime is 1082100221. The reversal of 1082100208 is 8020012801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 324373 + ... + 327691.

It is an arithmetic number, because the mean of its divisors is an integer number (31123008).

Almost surely, 21082100208 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 1082100208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1244920320).

1082100208 is an abundant number, since it is smaller than the sum of its proper divisors (1407740432).

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

1082100208 is a wasteful number, since it uses less digits than its factorization.

1082100208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3446 (or 3440 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 22.

The square root of 1082100208 is about 32895.2915779751. The cubic root of 1082100208 is about 1026.6501938850.

The spelling of 1082100208 in words is "one billion, eighty-two million, one hundred thousand, two hundred eight".

Divisors: 1 2 4 7 8 14 16 28 41 56 71 82 112 142 164 284 287 328 497 568 574 656 994 1136 1148 1988 2296 2911 3319 3976 4592 5822 6638 7952 11644 13276 20377 23233 23288 26552 40754 46466 46576 53104 81508 92932 136079 163016 185864 235649 272158 326032 371728 471298 544316 942596 952553 1088632 1649543 1885192 1905106 2177264 3299086 3770384 3810212 6598172 7620424 9661609 13196344 15240848 19323218 26392688 38646436 67631263 77292872 135262526 154585744 270525052 541050104 1082100208