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2074880 = 2851621
BaseRepresentation
bin111111010100100000000
310220102012102
413322210000
51012344010
6112245532
723431133
oct7724400
93812172
102074880
111197985
128408a8
13578552
143c021a
152aeba5
hex1fa900

2074880 has 36 divisors (see below), whose sum is σ = 4973052. Its totient is φ = 829440.

The previous prime is 2074873. The next prime is 2074889. The reversal of 2074880 is 884702.

It can be written as a sum of positive squares in 2 ways, for example, as 1183744 + 891136 = 1088^2 + 944^2 .

It is not an unprimeable number, because it can be changed into a prime (2074889) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 470 + ... + 2090.

22074880 is an apocalyptic number.

2074880 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 2074880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2486526).

2074880 is an abundant number, since it is smaller than the sum of its proper divisors (2898172).

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

2074880 is an equidigital number, since it uses as much as digits as its factorization.

2074880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1642 (or 1628 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 29.

The square root of 2074880 is about 1440.4443758785. Note that the first 3 decimals coincide. The cubic root of 2074880 is about 127.5452613881.

The spelling of 2074880 in words is "two million, seventy-four thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 1621 3242 6484 8105 12968 16210 25936 32420 51872 64840 103744 129680 207488 259360 414976 518720 1037440 2074880