Search a number
-
+
18404000 = 255343107
BaseRepresentation
bin100011000110…
…1001010100000
31021122000112122
41012031022200
514202412000
61454243412
7312300656
oct106151240
937560478
1018404000
11a43021a
1261b6568
133a74b54
142630dd6
151938085
hex118d2a0

18404000 has 96 divisors (see below), whose sum is σ = 46702656. Its totient is φ = 7123200.

The previous prime is 18403999. The next prime is 18404021. The reversal of 18404000 is 40481.

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 18404000.

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, 171947 + ... + 172053.

It is an arithmetic number, because the mean of its divisors is an integer number (486486).

Almost surely, 218404000 is an apocalyptic number.

18404000 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 18404000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23351328).

18404000 is an abundant number, since it is smaller than the sum of its proper divisors (28298656).

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

18404000 is a wasteful number, since it uses less digits than its factorization.

18404000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 18404000 is about 4289.9883449725. The cubic root of 18404000 is about 264.0203534966.

Adding to 18404000 its reverse (40481), we get a palindrome (18444481).

The spelling of 18404000 in words is "eighteen million, four hundred four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 43 50 80 86 100 107 125 160 172 200 214 215 250 344 400 428 430 500 535 688 800 856 860 1000 1070 1075 1376 1712 1720 2000 2140 2150 2675 3424 3440 4000 4280 4300 4601 5350 5375 6880 8560 8600 9202 10700 10750 13375 17120 17200 18404 21400 21500 23005 26750 34400 36808 42800 43000 46010 53500 73616 85600 86000 92020 107000 115025 147232 172000 184040 214000 230050 368080 428000 460100 575125 736160 920200 1150250 1840400 2300500 3680800 4601000 9202000 18404000