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9984375 = 325671
BaseRepresentation
bin100110000101…
…100101110111
3200210020222200
4212011211313
510024000000
6553555543
7150602652
oct46054567
920706880
109984375
1156aa455
123415bb3
1320b771b
14147c899
15d23500
hex985977

9984375 has 42 divisors (see below), whose sum is σ = 18281016. Its totient is φ = 5250000.

The previous prime is 9984353. The next prime is 9984383. The reversal of 9984375 is 5734899.

It is not a de Polignac number, because 9984375 - 26 = 9984311 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

9984375 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 9984375.

It is a congruent number.

It is an unprimeable number.

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 41 ways as a sum of consecutive naturals, for example, 140590 + ... + 140660.

Almost surely, 29984375 is an apocalyptic number.

9984375 is a deficient number, since it is larger than the sum of its proper divisors (8296641).

9984375 is an frugal number, since it uses more digits than its factorization.

9984375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 79 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 9984375 is about 3159.8061649411. The cubic root of 9984375 is about 215.3312003695.

The spelling of 9984375 in words is "nine million, nine hundred eighty-four thousand, three hundred seventy-five".

Divisors: 1 3 5 9 15 25 45 71 75 125 213 225 355 375 625 639 1065 1125 1775 1875 3125 3195 5325 5625 8875 9375 15625 15975 26625 28125 44375 46875 79875 133125 140625 221875 399375 665625 1109375 1996875 3328125 9984375