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2780001 = 3474903
BaseRepresentation
bin1010100110101101100001
312020020110000
422212231201
51202430001
6135330213
732425650
oct12465541
95206400
102780001
111629724
12b20969
13764493
14525197
1539da86
hex2a6b61

2780001 has 20 divisors (see below), whose sum is σ = 4747072. Its totient is φ = 1588248.

The previous prime is 2779991. The next prime is 2780039. The reversal of 2780001 is 1000872.

2780001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2780001 - 27 = 2779873 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2780101) 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 19 ways as a sum of consecutive naturals, for example, 1885 + ... + 3018.

22780001 is an apocalyptic number.

2780001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2780001 is a deficient number, since it is larger than the sum of its proper divisors (1967071).

2780001 is an equidigital number, since it uses as much as digits as its factorization.

2780001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4922 (or 4913 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 2780001 is about 1667.3334999334. Note that the first 3 decimals coincide. The cubic root of 2780001 is about 140.6096036477.

Adding to 2780001 its reverse (1000872), we get a palindrome (3780873).

The spelling of 2780001 in words is "two million, seven hundred eighty thousand, one".

Divisors: 1 3 7 9 21 27 63 81 189 567 4903 14709 34321 44127 102963 132381 308889 397143 926667 2780001