Search a number
-
+
9144940 = 225783787
BaseRepresentation
bin100010111000…
…101001101100
3122012121111111
4202320221230
54320114230
6524001404
7140505430
oct42705154
918177444
109144940
115186802
123090264
131b8260c
1413009c0
15c0992a
hex8b8a6c

9144940 has 48 divisors (see below), whose sum is σ = 22240512. Its totient is φ = 3093696.

The previous prime is 9144917. The next prime is 9145033. The reversal of 9144940 is 494419.

9144940 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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, 11227 + ... + 12013.

It is an arithmetic number, because the mean of its divisors is an integer number (463344).

Almost surely, 29144940 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9144940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11120256).

9144940 is an abundant number, since it is smaller than the sum of its proper divisors (13095572).

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

9144940 is a wasteful number, since it uses less digits than its factorization.

9144940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 886 (or 884 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 9144940 is about 3024.0601845863. The cubic root of 9144940 is about 209.1190609972.

The spelling of 9144940 in words is "nine million, one hundred forty-four thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 83 140 166 332 415 581 787 830 1162 1574 1660 2324 2905 3148 3935 5509 5810 7870 11018 11620 15740 22036 27545 55090 65321 110180 130642 261284 326605 457247 653210 914494 1306420 1828988 2286235 4572470 9144940