Search a number
-
+
16216020 = 2232590089
BaseRepresentation
bin111101110110…
…111111010100
31010111212012100
4331312333110
513122403040
61335322100
7254556012
oct75667724
933455170
1016216020
119176377
125520330
133489ca2
1422218b2
151654b30
hexf76fd4

16216020 has 36 divisors (see below), whose sum is σ = 49189140. Its totient is φ = 4324224.

The previous prime is 16216019. The next prime is 16216037. The reversal of 16216020 is 2061261.

It is a happy number.

16216020 is a `hidden beast` number, since 1 + 62 + 1 + 602 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7817616 + 8398404 = 2796^2 + 2898^2 .

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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 16215984 and 16216002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44865 + ... + 45224.

It is an arithmetic number, because the mean of its divisors is an integer number (1366365).

Almost surely, 216216020 is an apocalyptic number.

16216020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16216020 is an abundant number, since it is smaller than the sum of its proper divisors (32973120).

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

16216020 is a wasteful number, since it uses less digits than its factorization.

16216020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90104 (or 90099 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 16216020 is about 4026.9119682456. The cubic root of 16216020 is about 253.1131782316.

Adding to 16216020 its reverse (2061261), we get a palindrome (18277281).

The spelling of 16216020 in words is "sixteen million, two hundred sixteen thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 90089 180178 270267 360356 450445 540534 810801 900890 1081068 1351335 1621602 1801780 2702670 3243204 4054005 5405340 8108010 16216020