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18001000 = 235347383
BaseRepresentation
bin100010010101…
…0110001101000
31020212112201201
41010222301220
514102013000
61441453544
7306002023
oct104526150
936775651
1018001000
11a185466
1260412b4
1339635a4
1425681ba
1518a896a
hex112ac68

18001000 has 64 divisors (see below), whose sum is σ = 43130880. Its totient is φ = 7028800.

The previous prime is 18000989. The next prime is 18001031. The reversal of 18001000 is 10081.

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 46809 + ... + 47191.

It is an arithmetic number, because the mean of its divisors is an integer number (673920).

Almost surely, 218001000 is an apocalyptic number.

18001000 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 18001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21565440).

18001000 is an abundant number, since it is smaller than the sum of its proper divisors (25129880).

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

18001000 is a wasteful number, since it uses less digits than its factorization.

18001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 18001000 is about 4242.7585366127. The cubic root of 18001000 is about 262.0789925558.

Adding to 18001000 its reverse (10081), we get a palindrome (18011081).

The spelling of 18001000 in words is "eighteen million, one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 47 50 94 100 125 188 200 235 250 376 383 470 500 766 940 1000 1175 1532 1880 1915 2350 3064 3830 4700 5875 7660 9400 9575 11750 15320 18001 19150 23500 36002 38300 47000 47875 72004 76600 90005 95750 144008 180010 191500 360020 383000 450025 720040 900050 1800100 2250125 3600200 4500250 9000500 18001000