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2886672420 = 2232517943357
BaseRepresentation
bin1010110000001111…
…0010000000100100
321110011210011010100
42230003302000210
521402442004140
61154235224100
7131351211402
oct25403620044
97404704110
102886672420
1112514a6795
126868a8030
133700856b8
141d5546472
1511d65a530
hexac0f2024

2886672420 has 72 divisors (see below), whose sum is σ = 9271322424. Its totient is φ = 724497408.

The previous prime is 2886672419. The next prime is 2886672443. The reversal of 2886672420 is 242766882.

It can be written as a sum of positive squares in 4 ways, for example, as 1364268096 + 1522404324 = 36936^2 + 39018^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 468619 + ... + 474738.

It is an arithmetic number, because the mean of its divisors is an integer number (128768367).

Almost surely, 22886672420 is an apocalyptic number.

2886672420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2886672420 is an abundant number, since it is smaller than the sum of its proper divisors (6384650004).

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

2886672420 is a wasteful number, since it uses less digits than its factorization.

2886672420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 943389 (or 943384 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 2886672420 is about 53727.7620974483. The cubic root of 2886672420 is about 1423.8552283334.

The spelling of 2886672420 in words is "two billion, eight hundred eighty-six million, six hundred seventy-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 943357 1886714 2830071 3773428 4716785 5660142 8490213 9433570 11320284 14150355 16037069 16980426 18867140 28300710 32074138 33960852 42451065 48111207 56601420 64148276 80185345 84902130 96222414 144333621 160370690 169804260 192444828 240556035 288667242 320741380 481112070 577334484 721668105 962224140 1443336210 2886672420