Search a number
-
+
9989304 = 23313101317
BaseRepresentation
bin100110000110…
…110010111000
3200210111202020
4212012302320
510024124204
6554034440
7150623223
oct46066270
920714666
109989304
115703126
123418a20
1320b9a40
1414805ba
15d24bd9
hex986cb8

9989304 has 64 divisors (see below), whose sum is σ = 27246240. Its totient is φ = 3033600.

The previous prime is 9989293. The next prime is 9989321. The reversal of 9989304 is 4039899.

It is an Ulam number.

It is a congruent number.

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, 31354 + ... + 31670.

Almost surely, 29989304 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 9989304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13623120).

9989304 is an abundant number, since it is smaller than the sum of its proper divisors (17256936).

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

9989304 is a wasteful number, since it uses less digits than its factorization.

9989304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 42.

The square root of 9989304 is about 3160.5860216105. The cubic root of 9989304 is about 215.3666288224.

The spelling of 9989304 in words is "nine million, nine hundred eighty-nine thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 101 104 156 202 303 312 317 404 606 634 808 951 1212 1268 1313 1902 2424 2536 2626 3804 3939 4121 5252 7608 7878 8242 10504 12363 15756 16484 24726 31512 32017 32968 49452 64034 96051 98904 128068 192102 256136 384204 416221 768408 832442 1248663 1664884 2497326 3329768 4994652 9989304