Search a number
-
+
2880825840 = 243254001147
BaseRepresentation
bin1010101110110101…
…1110100111110000
321102202210010010100
42223231132213300
521344442411330
61153510032400
7131250421104
oct25355364760
97382703110
102880825840
111249173102
12684948700
1336bab9499
141d4863904
1511cda3060
hexabb5e9f0

2880825840 has 60 divisors (see below), whose sum is σ = 9674775864. Its totient is φ = 768220032.

The previous prime is 2880825817. The next prime is 2880825841. The reversal of 2880825840 is 485280882.

It is a tau number, because it is divible by the number of its divisors (60).

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 (2880825841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1999854 + ... + 2001293.

Almost surely, 22880825840 is an apocalyptic number.

2880825840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2880825840 is an abundant number, since it is smaller than the sum of its proper divisors (6793950024).

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

2880825840 is a wasteful number, since it uses less digits than its factorization.

2880825840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4001166 (or 4001157 counting only the distinct ones).

The product of its (nonzero) digits is 327680, while the sum is 45.

The square root of 2880825840 is about 53673.3252183988. The cubic root of 2880825840 is about 1422.8933006869.

The spelling of 2880825840 in words is "two billion, eight hundred eighty million, eight hundred twenty-five thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 4001147 8002294 12003441 16004588 20005735 24006882 32009176 36010323 40011470 48013764 60017205 64018352 72020646 80022940 96027528 120034410 144041292 160045880 180051615 192055056 240068820 288082584 320091760 360103230 480137640 576165168 720206460 960275280 1440412920 2880825840