Search a number
-
+
16938390 = 2357791021
BaseRepresentation
bin100000010011…
…1010110010110
31011212120002210
41000213112112
513314012030
61403014250
7263655030
oct100472626
934776083
1016938390
11961a077
12580a386
133680a21
14236cc50
151748bb0
hex1027596

16938390 has 64 divisors (see below), whose sum is σ = 47093760. Its totient is φ = 3818880.

The previous prime is 16938379. The next prime is 16938403. The reversal of 16938390 is 9383961.

It is a Curzon 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 31 ways as a sum of consecutive naturals, for example, 16080 + ... + 17100.

It is an arithmetic number, because the mean of its divisors is an integer number (735840).

Almost surely, 216938390 is an apocalyptic number.

16938390 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 16938390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23546880).

16938390 is an abundant number, since it is smaller than the sum of its proper divisors (30155370).

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

16938390 is a wasteful number, since it uses less digits than its factorization.

16938390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1117.

The product of its (nonzero) digits is 34992, while the sum is 39.

The square root of 16938390 is about 4115.6275341678. The cubic root of 16938390 is about 256.8171621666.

The spelling of 16938390 in words is "sixteen million, nine hundred thirty-eight thousand, three hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 79 105 158 210 237 395 474 553 790 1021 1106 1185 1659 2042 2370 2765 3063 3318 5105 5530 6126 7147 8295 10210 14294 15315 16590 21441 30630 35735 42882 71470 80659 107205 161318 214410 241977 403295 483954 564613 806590 1129226 1209885 1693839 2419770 2823065 3387678 5646130 8469195 16938390