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1806404112 = 243310340597
BaseRepresentation
bin110101110101011…
…1000101000010000
311122220001211121000
41223222320220100
512144414412422
6455125302000
762523116202
oct15352705020
94586054530
101806404112
11847739167
12424b64900
1322a322c96
14131ca2772
15a88c0cac
hex6bab8a10

1806404112 has 80 divisors (see below), whose sum is σ = 5235518080. Its totient is φ = 596274048.

The previous prime is 1806404099. The next prime is 1806404129. The reversal of 1806404112 is 2114046081.

It is a happy number.

1806404112 is a `hidden beast` number, since 1 + 8 + 0 + 640 + 4 + 1 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 24198 + ... + 64794.

It is an arithmetic number, because the mean of its divisors is an integer number (65443976).

Almost surely, 21806404112 is an apocalyptic number.

1806404112 is a gapful number since it is divisible by the number (12) 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 1806404112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2617759040).

1806404112 is an abundant number, since it is smaller than the sum of its proper divisors (3429113968).

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

1806404112 is a wasteful number, since it uses less digits than its factorization.

1806404112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40717 (or 40705 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 1806404112 is about 42501.8130436809. The cubic root of 1806404112 is about 1217.8813250386.

The spelling of 1806404112 in words is "one billion, eight hundred six million, four hundred four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 103 108 144 206 216 309 412 432 618 824 927 1236 1648 1854 2472 2781 3708 4944 5562 7416 11124 14832 22248 40597 44496 81194 121791 162388 243582 324776 365373 487164 649552 730746 974328 1096119 1461492 1948656 2192238 2922984 4181491 4384476 5845968 8362982 8768952 12544473 16725964 17537904 25088946 33451928 37633419 50177892 66903856 75266838 100355784 112900257 150533676 200711568 225800514 301067352 451601028 602134704 903202056 1806404112