Search a number
-
+
16820670 = 235560689
BaseRepresentation
bin100000000101…
…0100110111110
31011122120121210
41000022212332
513301230140
61400305250
7262654566
oct100124676
934576553
1016820670
119549689
125772226
13363c279
14233bda6
151723d80
hex100a9be

16820670 has 16 divisors (see below), whose sum is σ = 40369680. Its totient is φ = 4485504.

The previous prime is 16820653. The next prime is 16820677. The reversal of 16820670 is 7602861.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30), and also a Moran number because the ratio is a prime number: 560689 = 16820670 / (1 + 6 + 8 + 2 + 0 + 6 + 7 + 0).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16820677) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 280315 + ... + 280374.

It is an arithmetic number, because the mean of its divisors is an integer number (2523105).

Almost surely, 216820670 is an apocalyptic number.

16820670 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

16820670 is an abundant number, since it is smaller than the sum of its proper divisors (23549010).

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

16820670 is a wasteful number, since it uses less digits than its factorization.

16820670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560699.

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 16820670 is about 4101.3010130933. The cubic root of 16820670 is about 256.2208279304.

The spelling of 16820670 in words is "sixteen million, eight hundred twenty thousand, six hundred seventy".

Divisors: 1 2 3 5 6 10 15 30 560689 1121378 1682067 2803445 3364134 5606890 8410335 16820670