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9693965 = 553157233
BaseRepresentation
bin100100111110…
…101100001101
3200020111121202
4210332230031
54440201330
6543435245
7145253201
oct44765415
920214552
109693965
115521246
1232b5b25
132015498
141404b01
15cb7445
hex93eb0d

9693965 has 16 divisors (see below), whose sum is σ = 11978928. Its totient is φ = 7527936.

The previous prime is 9693947. The next prime is 9693967. The reversal of 9693965 is 5693969.

9693965 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 470596 + 9223369 = 686^2 + 3037^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-9693965 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9693967) 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 15 ways as a sum of consecutive naturals, for example, 41489 + ... + 41721.

It is an arithmetic number, because the mean of its divisors is an integer number (748683).

Almost surely, 29693965 is an apocalyptic number.

It is an amenable number.

9693965 is a deficient number, since it is larger than the sum of its proper divisors (2284963).

9693965 is a wasteful number, since it uses less digits than its factorization.

9693965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448.

The product of its digits is 393660, while the sum is 47.

The square root of 9693965 is about 3113.5132888748. The cubic root of 9693965 is about 213.2228852652. Note that the first 3 decimals are identical.

The spelling of 9693965 in words is "nine million, six hundred ninety-three thousand, nine hundred sixty-five".

Divisors: 1 5 53 157 233 265 785 1165 8321 12349 36581 41605 61745 182905 1938793 9693965