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2980002980 = 2251011499901
BaseRepresentation
bin1011000110011111…
…0011110010100100
321200200101211120202
42301213303302210
522100340043410
61211411450032
7133563415223
oct26147636244
97620354522
102980002980
11129a152389
126b1bb6918
13386502596
14203abccba
15126943ca5
hexb19f3ca4

2980002980 has 48 divisors (see below), whose sum is σ = 6363025200. Its totient is φ = 1172160000.

The previous prime is 2980002979. The next prime is 2980003031. The reversal of 2980002980 is 892000892.

It can be written as a sum of positive squares in 8 ways, for example, as 253701184 + 2726301796 = 15928^2 + 52214^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 296030 + ... + 305930.

It is an arithmetic number, because the mean of its divisors is an integer number (132563025).

Almost surely, 22980002980 is an apocalyptic number.

2980002980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2980002980 is an abundant number, since it is smaller than the sum of its proper divisors (3383022220).

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

2980002980 is a wasteful number, since it uses less digits than its factorization.

2980002980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10160 (or 10158 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 38.

The square root of 2980002980 is about 54589.4035505060. The cubic root of 2980002980 is about 1439.0379022248.

It can be divided in two parts, 298000 and 2980, that multiplied together give a square (888040000 = 298002).

The spelling of 2980002980 in words is "two billion, nine hundred eighty million, two thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 20 101 149 202 298 404 505 596 745 1010 1490 2020 2980 9901 15049 19802 30098 39604 49505 60196 75245 99010 150490 198020 300980 1000001 1475249 2000002 2950498 4000004 5000005 5900996 7376245 10000010 14752490 20000020 29504980 149000149 298000298 596000596 745000745 1490001490 2980002980