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1820808 = 233211319
BaseRepresentation
bin110111100100010001000
310102111200100
412330202020
5431231213
6103005400
721322323
oct6744210
93374610
101820808
111034000
12739860
134b9a02
143557ba
1525e773
hex1bc888

1820808 has 96 divisors (see below), whose sum is σ = 5709600. Its totient is φ = 522720.

The previous prime is 1820783. The next prime is 1820809. The reversal of 1820808 is 8080281.

It is not an unprimeable number, because it can be changed into a prime (1820809) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95823 + ... + 95841.

It is an arithmetic number, because the mean of its divisors is an integer number (59475).

21820808 is an apocalyptic number.

1820808 is a gapful number since it is divisible by the number (18) 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 1820808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2854800).

1820808 is an abundant number, since it is smaller than the sum of its proper divisors (3888792).

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

1820808 is a wasteful number, since it uses less digits than its factorization.

1820808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 1820808 is about 1349.3731878172. The cubic root of 1820808 is about 122.1109802641.

It can be divided in two parts, 1820 and 808, that added together give a triangular number (2628 = T72).

The spelling of 1820808 in words is "one million, eight hundred twenty thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 19 22 24 33 36 38 44 57 66 72 76 88 99 114 121 132 152 171 198 209 228 242 264 342 363 396 418 456 484 627 684 726 792 836 968 1089 1254 1331 1368 1452 1672 1881 2178 2299 2508 2662 2904 3762 3993 4356 4598 5016 5324 6897 7524 7986 8712 9196 10648 11979 13794 15048 15972 18392 20691 23958 25289 27588 31944 41382 47916 50578 55176 75867 82764 95832 101156 151734 165528 202312 227601 303468 455202 606936 910404 1820808