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2878020 = 2232559271
BaseRepresentation
bin1010111110101001000100
312102012220100
422332221010
51214044040
6141404100
733314505
oct12765104
95365810
102878020
111696332
12b69630
13799c92
1454cbac
153bcb30
hex2bea44

2878020 has 72 divisors (see below), whose sum is σ = 8910720. Its totient is φ = 751680.

The previous prime is 2878003. The next prime is 2878021. The reversal of 2878020 is 208782.

2878020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (2878021) by changing a digit.

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, 10485 + ... + 10755.

It is an arithmetic number, because the mean of its divisors is an integer number (123760).

22878020 is an apocalyptic number.

2878020 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 2878020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4455360).

2878020 is an abundant number, since it is smaller than the sum of its proper divisors (6032700).

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

2878020 is a wasteful number, since it uses less digits than its factorization.

2878020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 2878020 is about 1696.4728114532. The cubic root of 2878020 is about 142.2431198495.

The spelling of 2878020 in words is "two million, eight hundred seventy-eight thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 59 60 90 118 177 180 236 271 295 354 531 542 590 708 813 885 1062 1084 1180 1355 1626 1770 2124 2439 2655 2710 3252 3540 4065 4878 5310 5420 8130 9756 10620 12195 15989 16260 24390 31978 47967 48780 63956 79945 95934 143901 159890 191868 239835 287802 319780 479670 575604 719505 959340 1439010 2878020