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2869081920 = 26325996209
BaseRepresentation
bin1010101100000010…
…1011011101000000
321101221200110111100
42223000223131000
521333441110140
61152410214400
7131045536215
oct25300533500
97357613440
102869081920
111242581791
12680a24400
13369536c13
141d3087b0c
1511bd33530
hexab02b740

2869081920 has 84 divisors (see below), whose sum is σ = 9868456260. Its totient is φ = 765087744.

The previous prime is 2869081889. The next prime is 2869081921. The reversal of 2869081920 is 291809682.

It can be written as a sum of positive squares in 2 ways, for example, as 438986304 + 2430095616 = 20952^2 + 49296^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2869081921) 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 11 ways as a sum of consecutive naturals, for example, 495225 + ... + 500984.

Almost surely, 22869081920 is an apocalyptic number.

2869081920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2869081920 is an abundant number, since it is smaller than the sum of its proper divisors (6999374340).

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

2869081920 is a wasteful number, since it uses less digits than its factorization.

2869081920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 996232 (or 996219 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 2869081920 is about 53563.8116642197. The cubic root of 2869081920 is about 1420.9571540617.

The spelling of 2869081920 in words is "two billion, eight hundred sixty-nine million, eighty-one thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 996209 1992418 2988627 3984836 4981045 5977254 7969672 8965881 9962090 11954508 14943135 15939344 17931762 19924180 23909016 29886270 31878688 35863524 39848360 44829405 47818032 59772540 63757376 71727048 79696720 89658810 95636064 119545080 143454096 159393440 179317620 191272128 239090160 286908192 318786880 358635240 478180320 573816384 717270480 956360640 1434540960 2869081920