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9009685 = 531371571
BaseRepresentation
bin100010010111…
…101000010101
3121221201222001
4202113220111
54301302220
6521035301
7136403206
oct42275025
917851861
109009685
1150a4123
123025b31
131b35b99
1412a75ad
15bce80a
hex897a15

9009685 has 16 divisors (see below), whose sum is σ = 11469312. Its totient is φ = 6782400.

The previous prime is 9009683. The next prime is 9009697. The reversal of 9009685 is 5869009.

9009685 = T456 + T457 + ... + T529.

It is not a de Polignac number, because 9009685 - 21 = 9009683 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

9009685 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9009683) 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 15 ways as a sum of consecutive naturals, for example, 4950 + ... + 6520.

It is an arithmetic number, because the mean of its divisors is an integer number (716832).

Almost surely, 29009685 is an apocalyptic number.

It is an amenable number.

9009685 is a deficient number, since it is larger than the sum of its proper divisors (2459627).

9009685 is a wasteful number, since it uses less digits than its factorization.

9009685 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1644.

The product of its (nonzero) digits is 19440, while the sum is 37.

The square root of 9009685 is about 3001.6137326445. The cubic root of 9009685 is about 208.0829689342.

Adding to 9009685 its product of nonzero digits (19440), we get a triangular number (9029125 = T4249).

It can be divided in two parts, 900 and 9685, that added together give a triangular number (10585 = T145).

The spelling of 9009685 in words is "nine million, nine thousand, six hundred eighty-five".

Divisors: 1 5 31 37 155 185 1147 1571 5735 7855 48701 58127 243505 290635 1801937 9009685