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2084128 = 2565129
BaseRepresentation
bin111111100110100100000
310220212212221
413330310200
51013143003
6112400424
723500114
oct7746440
93825787
102084128
1111a3922
12846114
1357c817
143c3744
152b27bd
hex1fcd20

2084128 has 12 divisors (see below), whose sum is σ = 4103190. Its totient is φ = 1042048.

The previous prime is 2084123. The next prime is 2084141. The reversal of 2084128 is 8214802.

It can be written as a sum of positive squares in only one way, i.e., 2039184 + 44944 = 1428^2 + 212^2 .

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2084123) 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 as a sum of consecutive naturals, namely, 32533 + ... + 32596.

22084128 is an apocalyptic number.

It is an amenable number.

2084128 is a deficient number, since it is larger than the sum of its proper divisors (2019062).

2084128 is an equidigital number, since it uses as much as digits as its factorization.

2084128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65139 (or 65131 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

The square root of 2084128 is about 1443.6509273367. The cubic root of 2084128 is about 127.7344756163.

It can be divided in two parts, 20 and 84128, that added together give a palindrome (84148).

The spelling of 2084128 in words is "two million, eighty-four thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 32 65129 130258 260516 521032 1042064 2084128