Search a number
-
+
9918930 = 2357149317
BaseRepresentation
bin100101110101…
…100111010010
3200122221012210
4211311213102
510014401210
6552332550
7150211110
oct45654722
920587183
109918930
11566526a
1233a4156
1320939b8
141462ab0
15d0de20
hex9759d2

9918930 has 64 divisors (see below), whose sum is σ = 27475200. Its totient is φ = 2244864.

The previous prime is 9918917. The next prime is 9918941. The reversal of 9918930 is 398199.

It is an unprimeable number.

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, 31132 + ... + 31448.

It is an arithmetic number, because the mean of its divisors is an integer number (429300).

Almost surely, 29918930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9918930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13737600).

9918930 is an abundant number, since it is smaller than the sum of its proper divisors (17556270).

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

9918930 is a wasteful number, since it uses less digits than its factorization.

9918930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483.

The product of its (nonzero) digits is 17496, while the sum is 39.

The square root of 9918930 is about 3149.4332823541. The cubic root of 9918930 is about 214.8596885123.

The spelling of 9918930 in words is "nine million, nine hundred eighteen thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 149 210 298 317 447 634 745 894 951 1043 1490 1585 1902 2086 2219 2235 3129 3170 4438 4470 4755 5215 6258 6657 9510 10430 11095 13314 15645 22190 31290 33285 47233 66570 94466 141699 236165 283398 330631 472330 661262 708495 991893 1416990 1653155 1983786 3306310 4959465 9918930