Search a number
-
+
2800640 = 2105547
BaseRepresentation
bin1010101011110000000000
312021021202102
422223300000
51204110030
6140005532
732543063
oct12536000
95237672
102800640
111643187
12b308a8
137709ab
1452c8da
153a4c45
hex2abc00

2800640 has 44 divisors (see below), whose sum is σ = 6730536. Its totient is φ = 1118208.

The previous prime is 2800639. The next prime is 2800643. The reversal of 2800640 is 460082.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2800643) 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, 4847 + ... + 5393.

22800640 is an apocalyptic number.

2800640 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 2800640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3365268).

2800640 is an abundant number, since it is smaller than the sum of its proper divisors (3929896).

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

2800640 is an equidigital number, since it uses as much as digits as its factorization.

2800640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 2800640 is about 1673.5112787191. The cubic root of 2800640 is about 140.9567125641.

The spelling of 2800640 in words is "two million, eight hundred thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 547 640 1024 1094 1280 2188 2560 2735 4376 5120 5470 8752 10940 17504 21880 35008 43760 70016 87520 140032 175040 280064 350080 560128 700160 1400320 2800640