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8380125 = 335313191
BaseRepresentation
bin11111111101111011011101
3120202202101000
4133331323131
54121131000
6455340513
7131141565
oct37757335
916682330
108380125
114804126
122981739
131975470
141181da5
15b08000
hex7fdedd

8380125 has 64 divisors (see below), whose sum is σ = 16773120. Its totient is φ = 4104000.

The previous prime is 8380123. The next prime is 8380139. The reversal of 8380125 is 5210838.

It is a happy number.

It is not a de Polignac number, because 8380125 - 21 = 8380123 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

8380125 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8380123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43780 + ... + 43970.

It is an arithmetic number, because the mean of its divisors is an integer number (262080).

Almost surely, 28380125 is an apocalyptic number.

It is an amenable number.

8380125 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

8380125 is a wasteful number, since it uses less digits than its factorization.

8380125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 8380125 is about 2894.8445554123. The cubic root of 8380125 is about 203.1188203248.

It can be divided in two parts, 83 and 80125, that added together give a palindrome (80208).

The spelling of 8380125 in words is "eight million, three hundred eighty thousand, one hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 27 39 45 65 75 117 125 135 191 195 225 325 351 375 573 585 675 955 975 1125 1625 1719 1755 2483 2865 2925 3375 4775 4875 5157 7449 8595 8775 12415 14325 14625 22347 23875 25785 37245 42975 43875 62075 67041 71625 111735 128925 186225 214875 310375 335205 558675 644625 931125 1676025 2793375 8380125