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16820020 = 2257317379
BaseRepresentation
bin100000000101…
…0011100110100
31011122112201201
41000022130310
513301220040
61400302244
7262652650
oct100123464
934575651
1016820020
119549148
125771984
13363bb99
14233ba60
151723a9a
hex100a734

16820020 has 48 divisors (see below), whose sum is σ = 40602240. Its totient is φ = 5733504.

The previous prime is 16820017. The next prime is 16820039. The reversal of 16820020 is 2002861.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 16820020.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44191 + ... + 44569.

It is an arithmetic number, because the mean of its divisors is an integer number (845880).

Almost surely, 216820020 is an apocalyptic number.

16820020 is a gapful number since it is divisible by the number (10) 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 16820020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20301120).

16820020 is an abundant number, since it is smaller than the sum of its proper divisors (23782220).

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

16820020 is a wasteful number, since it uses less digits than its factorization.

16820020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 16820020 is about 4101.2217691805. The cubic root of 16820020 is about 256.2175275132.

Adding to 16820020 its reverse (2002861), we get a palindrome (18822881).

The spelling of 16820020 in words is "sixteen million, eight hundred twenty thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 317 379 634 758 1268 1516 1585 1895 2219 2653 3170 3790 4438 5306 6340 7580 8876 10612 11095 13265 22190 26530 44380 53060 120143 240286 480572 600715 841001 1201430 1682002 2402860 3364004 4205005 8410010 16820020