Search a number
-
+
2820000920 = 235116409093
BaseRepresentation
bin1010100000010101…
…1100110010011000
321021112022220000112
42220011130302120
521233410012140
61143454223452
7126611420012
oct25005346230
97245286015
102820000920
1112178a9480
126684b4b88
1335c310bc9
141ca74d1b2
1511788ac65
hexa815cc98

2820000920 has 32 divisors (see below), whose sum is σ = 6921821520. Its totient is φ = 1025454720.

The previous prime is 2820000907. The next prime is 2820000949. The reversal of 2820000920 is 290000282.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 3204107 + ... + 3204986.

Almost surely, 22820000920 is an apocalyptic number.

2820000920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2820000920 is an abundant number, since it is smaller than the sum of its proper divisors (4101820600).

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

2820000920 is a wasteful number, since it uses less digits than its factorization.

2820000920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6409115 (or 6409111 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 2820000920 is about 53103.6808517074. The cubic root of 2820000920 is about 1412.8077980128.

The spelling of 2820000920 in words is "two billion, eight hundred twenty million, nine hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 6409093 12818186 25636372 32045465 51272744 64090930 70500023 128181860 141000046 256363720 282000092 352500115 564000184 705000230 1410000460 2820000920