Search a number
-
+
16128084 = 22371011901
BaseRepresentation
bin111101100001…
…100001010100
31010100101120110
4331201201110
513112044314
61333403020
7254041440
oct75414124
933311513
1016128084
1191162a5
125499470
133458c5b
1421db820
151638a59
hexf61854

16128084 has 48 divisors (see below), whose sum is σ = 43456896. Its totient is φ = 4560000.

The previous prime is 16128071. The next prime is 16128113. The reversal of 16128084 is 48082161.

It is a super-2 number, since 2×161280842 = 520230187022112, which contains 22 as substring.

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, 7534 + ... + 9434.

It is an arithmetic number, because the mean of its divisors is an integer number (905352).

Almost surely, 216128084 is an apocalyptic number.

16128084 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16128084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21728448).

16128084 is an abundant number, since it is smaller than the sum of its proper divisors (27328812).

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

16128084 is a wasteful number, since it uses less digits than its factorization.

16128084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2016 (or 2014 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 16128084 is about 4015.9785856003. The cubic root of 16128084 is about 252.6548225416.

The spelling of 16128084 in words is "sixteen million, one hundred twenty-eight thousand, eighty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 101 202 303 404 606 707 1212 1414 1901 2121 2828 3802 4242 5703 7604 8484 11406 13307 22812 26614 39921 53228 79842 159684 192001 384002 576003 768004 1152006 1344007 2304012 2688014 4032021 5376028 8064042 16128084