Search a number
-
+
2987710020 = 2232528159069
BaseRepresentation
bin1011001000010100…
…1101011001000100
321201012220101122200
42302011031121010
522104323210040
61212244554500
7134016054561
oct26205153104
97635811580
102987710020
1112a3536839
126b46b2a30
13387ca0569
14204b27868
15127467630
hexb214d644

2987710020 has 72 divisors (see below), whose sum is σ = 9095126040. Its totient is φ = 793873920.

The previous prime is 2987710013. The next prime is 2987710021. The reversal of 2987710020 is 200177892.

It can be written as a sum of positive squares in 4 ways, for example, as 806446404 + 2181263616 = 28398^2 + 46704^2 .

It is a super-2 number, since 2×29877100202 = 17852822327216800800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2987710021) by changing a digit.

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, 21046 + ... + 80114.

It is an arithmetic number, because the mean of its divisors is an integer number (126321195).

Almost surely, 22987710020 is an apocalyptic number.

2987710020 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 2987710020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4547563020).

2987710020 is an abundant number, since it is smaller than the sum of its proper divisors (6107416020).

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

2987710020 is a wasteful number, since it uses less digits than its factorization.

2987710020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59365 (or 59360 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 2987710020 is about 54659.9489571661. The cubic root of 2987710020 is about 1440.2774060470.

The spelling of 2987710020 in words is "two billion, nine hundred eighty-seven million, seven hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 281 562 843 1124 1405 1686 2529 2810 3372 4215 5058 5620 8430 10116 12645 16860 25290 50580 59069 118138 177207 236276 295345 354414 531621 590690 708828 886035 1063242 1181380 1772070 2126484 2658105 3544140 5316210 10632420 16598389 33196778 49795167 66393556 82991945 99590334 149385501 165983890 199180668 248975835 298771002 331967780 497951670 597542004 746927505 995903340 1493855010 2987710020