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9940385 = 572133121
BaseRepresentation
bin100101111010…
…110110100001
3200201000122102
4211322312201
510021043020
6553020145
7150330500
oct45726641
920630572
109940385
11567a3a4
1233b4655
1320a06b0
14146a837
15d15475
hex97ada1

9940385 has 24 divisors (see below), whose sum is σ = 14948136. Its totient is φ = 6289920.

The previous prime is 9940369. The next prime is 9940387. The reversal of 9940385 is 5830499.

It can be written as a sum of positive squares in 4 ways, for example, as 625681 + 9314704 = 791^2 + 3052^2 .

It is not a de Polignac number, because 9940385 - 24 = 9940369 is a prime.

It is a super-2 number, since 2×99403852 = 197622507896450, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9940387) 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 23 ways as a sum of consecutive naturals, for example, 1625 + ... + 4745.

It is an arithmetic number, because the mean of its divisors is an integer number (622839).

Almost surely, 29940385 is an apocalyptic number.

It is an amenable number.

9940385 is a deficient number, since it is larger than the sum of its proper divisors (5007751).

9940385 is a wasteful number, since it uses less digits than its factorization.

9940385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3153 (or 3146 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 38.

The square root of 9940385 is about 3152.8376107881. The cubic root of 9940385 is about 215.0144933442.

The spelling of 9940385 in words is "nine million, nine hundred forty thousand, three hundred eighty-five".

Divisors: 1 5 7 13 35 49 65 91 245 455 637 3121 3185 15605 21847 40573 109235 152929 202865 284011 764645 1420055 1988077 9940385