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6972975 = 3252171823
BaseRepresentation
bin11010100110011000101111
3111010021010100
4122212120233
53241113400
6405242143
7113161242
oct32463057
914107110
106972975
113a32999
122403353
1315a1b29
14cd7259
1592b100
hex6a662f

6972975 has 36 divisors (see below), whose sum is σ = 13231296. Its totient is φ = 3498240.

The previous prime is 6972961. The next prime is 6973003. The reversal of 6972975 is 5792796.

It is not a de Polignac number, because 6972975 - 215 = 6940207 is a prime.

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

It is a d-powerful number, because it can be written as 65 + 94 + 72 + 221 + 97 + 73 + 57 .

It is a self number, because there is not a number n which added to its sum of digits gives 6972975.

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 35 ways as a sum of consecutive naturals, for example, 2914 + ... + 4736.

It is an arithmetic number, because the mean of its divisors is an integer number (367536).

Almost surely, 26972975 is an apocalyptic number.

6972975 is a deficient number, since it is larger than the sum of its proper divisors (6258321).

6972975 is a wasteful number, since it uses less digits than its factorization.

6972975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1856 (or 1848 counting only the distinct ones).

The product of its digits is 238140, while the sum is 45.

The square root of 6972975 is about 2640.6391271811. The cubic root of 6972975 is about 191.0466247661.

The spelling of 6972975 in words is "six million, nine hundred seventy-two thousand, nine hundred seventy-five".

Divisors: 1 3 5 9 15 17 25 45 51 75 85 153 225 255 425 765 1275 1823 3825 5469 9115 16407 27345 30991 45575 82035 92973 136725 154955 278919 410175 464865 774775 1394595 2324325 6972975