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20035125 = 3253111619
BaseRepresentation
bin100110001101…
…1011000110101
31101200220000200
41030123120311
520112111000
61553231113
7332203305
oct114333065
941626020
1020035125
1110344760
126862499
1341c6406
142937605
151b5b500
hex131b635

20035125 has 48 divisors (see below), whose sum is σ = 39424320. Its totient is φ = 9708000.

The previous prime is 20035123. The next prime is 20035151. The reversal of 20035125 is 52153002.

It is a happy number.

It is not a de Polignac number, because 20035125 - 21 = 20035123 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20035098 and 20035107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20035123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11566 + ... + 13184.

It is an arithmetic number, because the mean of its divisors is an integer number (821340).

Almost surely, 220035125 is an apocalyptic number.

20035125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

20035125 is a deficient number, since it is larger than the sum of its proper divisors (19389195).

20035125 is a wasteful number, since it uses less digits than its factorization.

20035125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1651 (or 1638 counting only the distinct ones).

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

The square root of 20035125 is about 4476.0613266576. The cubic root of 20035125 is about 271.6005752549.

Adding to 20035125 its reverse (52153002), we get a palindrome (72188127).

The spelling of 20035125 in words is "twenty million, thirty-five thousand, one hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 33 45 55 75 99 125 165 225 275 375 495 825 1125 1375 1619 2475 4125 4857 8095 12375 14571 17809 24285 40475 53427 72855 89045 121425 160281 202375 267135 364275 445225 607125 801405 1335675 1821375 2226125 4007025 6678375 20035125