Search a number
-
+
2420899880 = 235728111523
BaseRepresentation
bin1001000001001100…
…0000000000101000
320020201100110022112
42100103000000220
514424222244010
61040120141452
7113664211100
oct22023000050
96221313275
102420899880
111032597a03
12576907888
132c7725849
1418d740200
15e2803a05
hex904c0028

2420899880 has 96 divisors (see below), whose sum is σ = 6348313440. Its totient is φ = 828455040.

The previous prime is 2420899879. The next prime is 2420899883. The reversal of 2420899880 is 889980242.

It is not an unprimeable number, because it can be changed into a prime (2420899883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1588799 + ... + 1590321.

It is an arithmetic number, because the mean of its divisors is an integer number (66128265).

Almost surely, 22420899880 is an apocalyptic number.

2420899880 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 2420899880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3174156720).

2420899880 is an abundant number, since it is smaller than the sum of its proper divisors (3927413560).

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

2420899880 is a wasteful number, since it uses less digits than its factorization.

2420899880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2359 (or 2348 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 50.

The square root of 2420899880 is about 49202.6409860284. The cubic root of 2420899880 is about 1342.7410809821.

The spelling of 2420899880 in words is "two billion, four hundred twenty million, eight hundred ninety-nine thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 811 980 1523 1622 1960 3046 3244 4055 5677 6092 6488 7615 8110 10661 11354 12184 15230 16220 21322 22708 28385 30460 32440 39739 42644 45416 53305 56770 60920 74627 79478 85288 106610 113540 149254 158956 198695 213220 227080 298508 317912 373135 397390 426440 597016 746270 794780 1235153 1492540 1589560 2470306 2985080 4940612 6175765 8646071 9881224 12351530 17292142 24703060 34584284 43230355 49406120 60522497 69168568 86460710 121044994 172921420 242089988 302612485 345842840 484179976 605224970 1210449940 2420899880