Search a number
-
+
9949905 = 335710529
BaseRepresentation
bin100101111101…
…001011010001
3200201111201000
4211331023101
510021344110
6553132213
7150400320
oct45751321
920644630
109949905
115686569
1233ba069
1320a4b24
1414700b7
15d181c0
hex97d2d1

9949905 has 32 divisors (see below), whose sum is σ = 20217600. Its totient is φ = 4548096.

The previous prime is 9949889. The next prime is 9949909. The reversal of 9949905 is 5099499.

It is a happy number.

It is not a de Polignac number, because 9949905 - 24 = 9949889 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

9949905 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (9949909) 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 31 ways as a sum of consecutive naturals, for example, 4320 + ... + 6209.

It is an arithmetic number, because the mean of its divisors is an integer number (631800).

Almost surely, 29949905 is an apocalyptic number.

It is an amenable number.

9949905 is an abundant number, since it is smaller than the sum of its proper divisors (10267695).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9949905 is a wasteful number, since it uses less digits than its factorization.

9949905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10550 (or 10544 counting only the distinct ones).

The product of its (nonzero) digits is 131220, while the sum is 45.

The square root of 9949905 is about 3154.3470005692. The cubic root of 9949905 is about 215.0831119094.

The spelling of 9949905 in words is "nine million, nine hundred forty-nine thousand, nine hundred five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 945 10529 31587 52645 73703 94761 157935 221109 284283 368515 473805 663327 1105545 1421415 1989981 3316635 9949905