Search a number
-
+
18050000 = 2455192
BaseRepresentation
bin100010011011…
…0101111010000
31020222000221112
41010312233100
514110100000
61442512452
7306264623
oct104665720
936860845
1018050000
11a209261
126065728
13397c997
14257bdba
1518b8235
hex1136bd0

18050000 has 90 divisors (see below), whose sum is σ = 46133766. Its totient is φ = 6840000.

The previous prime is 18049991. The next prime is 18050003. The reversal of 18050000 is 5081.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 8340544 + 9709456 = 2888^2 + 3116^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18050003) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 949991 + ... + 950009.

Almost surely, 218050000 is an apocalyptic number.

18050000 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 18050000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23066883).

18050000 is an abundant number, since it is smaller than the sum of its proper divisors (28083766).

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

18050000 is an frugal number, since it uses more digits than its factorization.

18050000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 14.

The square root of 18050000 is about 4248.5291572496. The cubic root of 18050000 is about 262.3165763209.

Adding to 18050000 its reverse (5081), we get a palindrome (18055081).

It can be divided in two parts, 180 and 50000, that multiplied together give a square (9000000 = 30002).

The spelling of 18050000 in words is "eighteen million, fifty thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 125 152 190 200 250 304 361 380 400 475 500 625 722 760 950 1000 1250 1444 1520 1805 1900 2000 2375 2500 2888 3125 3610 3800 4750 5000 5776 6250 7220 7600 9025 9500 10000 11875 12500 14440 18050 19000 23750 25000 28880 36100 38000 45125 47500 50000 59375 72200 90250 95000 118750 144400 180500 190000 225625 237500 361000 451250 475000 722000 902500 950000 1128125 1805000 2256250 3610000 4512500 9025000 18050000