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18148000 = 255313349
BaseRepresentation
bin100010100111…
…0101010100000
31021011000101011
41011032222200
514121214000
61444550304
7310153423
oct105165240
937130334
1018148000
11a275952
1260b2394
1339b5480
1425a59ba
1518d72ba
hex114eaa0

18148000 has 96 divisors (see below), whose sum is σ = 48157200. Its totient is φ = 6681600.

The previous prime is 18147991. The next prime is 18148001. The reversal of 18148000 is 84181.

It can be written as a sum of positive squares in 8 ways, for example, as 204304 + 17943696 = 452^2 + 4236^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18148001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51826 + ... + 52174.

Almost surely, 218148000 is an apocalyptic number.

18148000 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 18148000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24078600).

18148000 is an abundant number, since it is smaller than the sum of its proper divisors (30009200).

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

18148000 is a wasteful number, since it uses less digits than its factorization.

18148000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 22.

The square root of 18148000 is about 4260.0469480981. The cubic root of 18148000 is about 262.7904570235.

The spelling of 18148000 in words is "eighteen million, one hundred forty-eight thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 65 80 100 104 125 130 160 200 208 250 260 325 349 400 416 500 520 650 698 800 1000 1040 1300 1396 1625 1745 2000 2080 2600 2792 3250 3490 4000 4537 5200 5584 6500 6980 8725 9074 10400 11168 13000 13960 17450 18148 22685 26000 27920 34900 36296 43625 45370 52000 55840 69800 72592 87250 90740 113425 139600 145184 174500 181480 226850 279200 349000 362960 453700 567125 698000 725920 907400 1134250 1396000 1814800 2268500 3629600 4537000 9074000 18148000