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9000693 = 331325643
BaseRepresentation
bin100010010101…
…011011110101
3121221021122000
4202111123311
54301010233
6520525513
7136335042
oct42253365
917837560
109000693
115098399
123020899
131b31a70
1412a41c9
15bcbd13
hex8956f5

9000693 has 16 divisors (see below), whose sum is σ = 14360640. Its totient is φ = 5538672.

The previous prime is 9000683. The next prime is 9000703. The reversal of 9000693 is 3960009.

It is an interprime number because it is at equal distance from previous prime (9000683) and next prime (9000703).

It is not a de Polignac number, because 9000693 - 214 = 8984309 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

9000693 is a modest number, since divided by 693 gives 9 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9000683) 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, 12471 + ... + 13172.

It is an arithmetic number, because the mean of its divisors is an integer number (897540).

Almost surely, 29000693 is an apocalyptic number.

It is an amenable number.

9000693 is a deficient number, since it is larger than the sum of its proper divisors (5359947).

9000693 is a wasteful number, since it uses less digits than its factorization.

9000693 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25665 (or 25659 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The square root of 9000693 is about 3000.1154977767. The cubic root of 9000693 is about 208.0137210500.

The spelling of 9000693 in words is "nine million, six hundred ninety-three", and thus it is an aban number.

Divisors: 1 3 9 13 27 39 117 351 25643 76929 230787 333359 692361 1000077 3000231 9000693