Search a number
-
+
16182828 = 223516649
BaseRepresentation
bin111101101110…
…111000101100
31010110011200000
4331232320230
513120322303
61334504300
7254360154
oct75567054
933404600
1016182828
119153442
125505090
133477b4c
142213764
151649da3
hexf6ee2c

16182828 has 36 divisors (see below), whose sum is σ = 42424200. Its totient is φ = 5393952.

The previous prime is 16182809. The next prime is 16182833. The reversal of 16182828 is 82828161.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 16182792 and 16182801.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7353 + ... + 9296.

It is an arithmetic number, because the mean of its divisors is an integer number (1178450).

Almost surely, 216182828 is an apocalyptic number.

16182828 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

16182828 is an abundant number, since it is smaller than the sum of its proper divisors (26241372).

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

16182828 is a wasteful number, since it uses less digits than its factorization.

16182828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16668 (or 16654 counting only the distinct ones).

The product of its digits is 12288, while the sum is 36.

The square root of 16182828 is about 4022.7885850489. The cubic root of 16182828 is about 252.9403641200.

The spelling of 16182828 in words is "sixteen million, one hundred eighty-two thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 972 16649 33298 49947 66596 99894 149841 199788 299682 449523 599364 899046 1348569 1798092 2697138 4045707 5394276 8091414 16182828