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993969 = 32110441
BaseRepresentation
bin11110010101010110001
31212111110200
43302222301
5223301334
633145413
711306604
oct3625261
91774420
10993969
11619869
123bb269
1328a562
141bc33b
15149799
hexf2ab1

993969 has 6 divisors (see below), whose sum is σ = 1435746. Its totient is φ = 662640.

The previous prime is 993961. The next prime is 993977. The reversal of 993969 is 969399.

It is an interprime number because it is at equal distance from previous prime (993961) and next prime (993977).

It can be written as a sum of positive squares in only one way, i.e., 705600 + 288369 = 840^2 + 537^2 .

It is not a de Polignac number, because 993969 - 23 = 993961 is a prime.

It is a super-2 number, since 2×9939692 = 1975948745922, which contains 22 as substring.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 993969.

It is not an unprimeable number, because it can be changed into a prime (993961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 55212 + ... + 55229.

It is an arithmetic number, because the mean of its divisors is an integer number (239291).

2993969 is an apocalyptic number.

It is an amenable number.

993969 is a deficient number, since it is larger than the sum of its proper divisors (441777).

993969 is a wasteful number, since it uses less digits than its factorization.

993969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110447 (or 110444 counting only the distinct ones).

The product of its digits is 118098, while the sum is 45.

The square root of 993969 is about 996.9799396176. The cubic root of 993969 is about 99.7985611631.

The spelling of 993969 in words is "nine hundred ninety-three thousand, nine hundred sixty-nine".

Divisors: 1 3 9 110441 331323 993969