Search a number
-
+
9930195 = 35511743
BaseRepresentation
bin100101111000…
…010111010011
3200200111200000
4211320113103
510020231240
6552501043
7150256002
oct45702723
920614600
109930195
115672780
1233aa783
132098b72
141466c39
15d12430
hex9785d3

9930195 has 48 divisors (see below), whose sum is σ = 19498752. Its totient is φ = 4808160.

The previous prime is 9930191. The next prime is 9930197. The reversal of 9930195 is 5910399.

It is not a de Polignac number, because 9930195 - 22 = 9930191 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (9930191) 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 47 ways as a sum of consecutive naturals, for example, 12994 + ... + 13736.

It is an arithmetic number, because the mean of its divisors is an integer number (406224).

Almost surely, 29930195 is an apocalyptic number.

9930195 is a deficient number, since it is larger than the sum of its proper divisors (9568557).

9930195 is a wasteful number, since it uses less digits than its factorization.

9930195 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 10935, while the sum is 36.

The square root of 9930195 is about 3151.2211918556. The cubic root of 9930195 is about 214.9409969694.

The spelling of 9930195 in words is "nine million, nine hundred thirty thousand, one hundred ninety-five".

Divisors: 1 3 5 9 11 15 27 33 45 55 81 99 135 165 243 297 405 495 743 891 1215 1485 2229 2673 3715 4455 6687 8173 11145 13365 20061 24519 33435 40865 60183 73557 100305 122595 180549 220671 300915 367785 662013 902745 1103355 1986039 3310065 9930195