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16801820 = 2257432791
BaseRepresentation
bin100000000011…
…0000000011100
31011121121202122
41000012000130
513300124240
61400042112
7262545620
oct100060034
934547678
1016801820
119536502
125763338
133633809
142335180
15171d4b5
hex100601c

16801820 has 48 divisors (see below), whose sum is σ = 41276928. Its totient is φ = 5624640.

The previous prime is 16801819. The next prime is 16801849. The reversal of 16801820 is 2810861.

It is a self number, because there is not a number n which added to its sum of digits gives 16801820.

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, 4625 + ... + 7415.

It is an arithmetic number, because the mean of its divisors is an integer number (859936).

Almost surely, 216801820 is an apocalyptic number.

16801820 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 16801820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20638464).

16801820 is an abundant number, since it is smaller than the sum of its proper divisors (24475108).

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

16801820 is a wasteful number, since it uses less digits than its factorization.

16801820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2850 (or 2848 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 26.

The square root of 16801820 is about 4099.0023176378. The cubic root of 16801820 is about 256.1250812908.

The spelling of 16801820 in words is "sixteen million, eight hundred one thousand, eight hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 43 70 86 140 172 215 301 430 602 860 1204 1505 2791 3010 5582 6020 11164 13955 19537 27910 39074 55820 78148 97685 120013 195370 240026 390740 480052 600065 840091 1200130 1680182 2400260 3360364 4200455 8400910 16801820