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31993065 = 32513173217
BaseRepresentation
bin111101000001…
…0110011101001
32020012102020100
41322002303221
531142234230
63101420013
7535636146
oct172026351
966172210
1031993065
1117071955
12a86a609
136822210
14436b3cd
152c1e660
hex1e82ce9

31993065 has 48 divisors (see below), whose sum is σ = 63253008. Its totient is φ = 14819328.

The previous prime is 31993057. The next prime is 31993067. The reversal of 31993065 is 56039913.

It can be written as a sum of positive squares in 8 ways, for example, as 419904 + 31573161 = 648^2 + 5619^2 .

It is not a de Polignac number, because 31993065 - 23 = 31993057 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (31993067) 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, 8337 + ... + 11553.

It is an arithmetic number, because the mean of its divisors is an integer number (1317771).

Almost surely, 231993065 is an apocalyptic number.

It is an amenable number.

31993065 is a deficient number, since it is larger than the sum of its proper divisors (31259943).

31993065 is a wasteful number, since it uses less digits than its factorization.

31993065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3258 (or 3255 counting only the distinct ones).

The product of its (nonzero) digits is 21870, while the sum is 36.

The square root of 31993065 is about 5656.2412430871. The cubic root of 31993065 is about 317.4572740985.

The spelling of 31993065 in words is "thirty-one million, nine hundred ninety-three thousand, sixty-five".

Divisors: 1 3 5 9 13 15 17 39 45 51 65 85 117 153 195 221 255 585 663 765 1105 1989 3217 3315 9651 9945 16085 28953 41821 48255 54689 125463 144765 164067 209105 273445 376389 492201 627315 710957 820335 1881945 2132871 2461005 3554785 6398613 10664355 31993065