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2982108140 = 22511194911453
BaseRepresentation
bin1011000110111111…
…0101101111101100
321200211100210022122
42301233311233230
522101404430030
61211524532112
7133620333554
oct26157655754
97624323278
102982108140
1112a035aa90
126b2851038
13386a8b83b
142040aa164
15126c0c8e5
hexb1bf5bec

2982108140 has 96 divisors (see below), whose sum is σ = 7210909440. Its totient is φ = 1024531200.

The previous prime is 2982108139. The next prime is 2982108169. The reversal of 2982108140 is 418012892.

It is a self number, because there is not a number n which added to its sum of digits gives 2982108140.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2051654 + ... + 2053106.

It is an arithmetic number, because the mean of its divisors is an integer number (75113640).

Almost surely, 22982108140 is an apocalyptic number.

2982108140 is a gapful number since it is divisible by the number (20) 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 2982108140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3605454720).

2982108140 is an abundant number, since it is smaller than the sum of its proper divisors (4228801300).

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

2982108140 is a wasteful number, since it uses less digits than its factorization.

2982108140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1983 (or 1981 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 35.

The square root of 2982108140 is about 54608.6819104801. The cubic root of 2982108140 is about 1439.3766817469.

The spelling of 2982108140 in words is "two billion, nine hundred eighty-two million, one hundred eight thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 110 190 209 220 380 418 491 836 982 1045 1453 1964 2090 2455 2906 4180 4910 5401 5812 7265 9329 9820 10802 14530 15983 18658 21604 27005 27607 29060 31966 37316 46645 54010 55214 63932 79915 93290 102619 108020 110428 138035 159830 186580 205238 276070 303677 319660 410476 513095 552140 607354 713423 1026190 1214708 1426846 1518385 2052380 2853692 3036770 3567115 6073540 7134230 7847653 13555037 14268460 15695306 27110074 31390612 39238265 54220148 67775185 78476530 135550370 149105407 156953060 271100740 298210814 596421628 745527035 1491054070 2982108140