Search a number
-
+
16589394 = 2331922337
BaseRepresentation
bin111111010010…
…001001010010
31011012211101000
4333102021102
513221330034
61351322430
7261002403
oct77221122
934184330
1016589394
119400948
125680416
13358ac13
1422bb9aa
1516ca599
hexfd2252

16589394 has 96 divisors (see below), whose sum is σ = 41696640. Its totient is φ = 4875552.

The previous prime is 16589393. The next prime is 16589411. The reversal of 16589394 is 49398561.

It is a happy number.

16589394 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (16589393) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 448344 + ... + 448380.

It is an arithmetic number, because the mean of its divisors is an integer number (434340).

Almost surely, 216589394 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16589394, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20848320).

16589394 is an abundant number, since it is smaller than the sum of its proper divisors (25107246).

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

16589394 is a wasteful number, since it uses less digits than its factorization.

16589394 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 84 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 16589394 is about 4073.0079793686. The cubic root of 16589394 is about 255.0411006415.

The spelling of 16589394 in words is "sixteen million, five hundred eighty-nine thousand, three hundred ninety-four".

Divisors: 1 2 3 6 9 18 19 23 27 37 38 46 54 57 69 74 111 114 138 171 207 222 333 342 361 414 437 513 621 666 703 722 851 874 999 1026 1083 1242 1311 1406 1702 1998 2109 2166 2553 2622 3249 3933 4218 5106 6327 6498 7659 7866 8303 9747 11799 12654 13357 15318 16169 16606 18981 19494 22977 23598 24909 26714 32338 37962 40071 45954 48507 49818 74727 80142 97014 120213 145521 149454 224181 240426 291042 307211 360639 436563 448362 614422 721278 873126 921633 1843266 2764899 5529798 8294697 16589394