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9960047 = 194373167
BaseRepresentation
bin100101111111…
…101001101111
3200202000121122
4211333221233
510022210142
6553251155
7150442016
oct45775157
920660548
109960047
115693149
123403abb
1320a9626
141473a7d
15d1b1d2
hex97fa6f

9960047 has 16 divisors (see below), whose sum is σ = 10940160. Its totient is φ = 9035712.

The previous prime is 9960043. The next prime is 9960053. The reversal of 9960047 is 7400699.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 9960047 - 22 = 9960043 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 9959989 and 9960016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9960043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59558 + ... + 59724.

It is an arithmetic number, because the mean of its divisors is an integer number (683760).

Almost surely, 29960047 is an apocalyptic number.

9960047 is a deficient number, since it is larger than the sum of its proper divisors (980113).

9960047 is a wasteful number, since it uses less digits than its factorization.

With its successor (9960048) it forms an eRAP, since the sums of their prime factors are consecutive (302 and 303).

9960047 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302.

The product of its (nonzero) digits is 13608, while the sum is 35.

The square root of 9960047 is about 3155.9542138631. The cubic root of 9960047 is about 215.1561656111.

The spelling of 9960047 in words is "nine million, nine hundred sixty thousand, forty-seven".

Divisors: 1 19 43 73 167 817 1387 3139 3173 7181 12191 59641 136439 231629 524213 9960047