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3268125 = 3254783
BaseRepresentation
bin1100011101111000011101
320011001000200
430131320131
51314040000
6154014113
736531030
oct14357035
96131020
103268125
111932433
121117339
138a5703
14611017
15448500
hex31de1d

3268125 has 60 divisors (see below), whose sum is σ = 6822816. Its totient is φ = 1476000.

The previous prime is 3268121. The next prime is 3268127. The reversal of 3268125 is 5218623.

It is not a de Polignac number, because 3268125 - 22 = 3268121 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3268121) 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 59 ways as a sum of consecutive naturals, for example, 39334 + ... + 39416.

Almost surely, 23268125 is an apocalyptic number.

3268125 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3268125 is an abundant number, since it is smaller than the sum of its proper divisors (3554691).

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

3268125 is an equidigital number, since it uses as much as digits as its factorization.

With its successor (3268126) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (98).

3268125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 98 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 3268125 is about 1807.7956189791. The cubic root of 3268125 is about 148.3996533244.

The spelling of 3268125 in words is "three million, two hundred sixty-eight thousand, one hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 63 75 83 105 125 175 225 249 315 375 415 525 581 625 747 875 1125 1245 1575 1743 1875 2075 2625 2905 3735 4375 5229 5625 6225 7875 8715 10375 13125 14525 18675 26145 31125 39375 43575 51875 72625 93375 130725 155625 217875 363125 466875 653625 1089375 3268125