Search a number
-
+
2078820 = 2232511549
BaseRepresentation
bin111111011100001100100
310220121121100
413323201210
51013010240
6112320100
723445462
oct7734144
93817540
102078820
11119a937
12843030
1357a293
143c1832
152b0e30
hex1fb864

2078820 has 36 divisors (see below), whose sum is σ = 6306300. Its totient is φ = 554304.

The previous prime is 2078801. The next prime is 2078827. The reversal of 2078820 is 288702.

It can be written as a sum of positive squares in 2 ways, for example, as 1498176 + 580644 = 1224^2 + 762^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (2078827) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5595 + ... + 5954.

It is an arithmetic number, because the mean of its divisors is an integer number (175175).

22078820 is an apocalyptic number.

2078820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2078820 is an abundant number, since it is smaller than the sum of its proper divisors (4227480).

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

2078820 is a wasteful number, since it uses less digits than its factorization.

2078820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11564 (or 11559 counting only the distinct ones).

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

The square root of 2078820 is about 1441.8113607542. The cubic root of 2078820 is about 127.6259424525.

The spelling of 2078820 in words is "two million, seventy-eight thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 11549 23098 34647 46196 57745 69294 103941 115490 138588 173235 207882 230980 346470 415764 519705 692940 1039410 2078820