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2125035 = 3651153
BaseRepresentation
bin1000000110110011101011
310222222000000
420012303223
51021000120
6113314043
724030303
oct10066353
93888000
102125035
111221630
12865923
13595323
143d4603
152be990
hex206ceb

2125035 has 56 divisors (see below), whose sum is σ = 4249584. Its totient is φ = 1010880.

The previous prime is 2125009. The next prime is 2125037. The reversal of 2125035 is 5305212.

It is a happy number.

2125035 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 2125035 - 210 = 2124011 is a prime.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

2125035 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 2124999 and 2125017.

It is not an unprimeable number, because it can be changed into a prime (2125037) 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 55 ways as a sum of consecutive naturals, for example, 40069 + ... + 40121.

22125035 is an apocalyptic number.

2125035 is a deficient number, since it is larger than the sum of its proper divisors (2124549).

2125035 is an equidigital number, since it uses as much as digits as its factorization.

2125035 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 2125035 is about 1457.7499785629. The cubic root of 2125035 is about 128.5647853710.

The spelling of 2125035 in words is "two million, one hundred twenty-five thousand, thirty-five".

Divisors: 1 3 5 9 11 15 27 33 45 53 55 81 99 135 159 165 243 265 297 405 477 495 583 729 795 891 1215 1431 1485 1749 2385 2673 2915 3645 4293 4455 5247 7155 8019 8745 12879 13365 15741 21465 26235 38637 40095 47223 64395 78705 141669 193185 236115 425007 708345 2125035