Search a number
-
+
18290500 = 2253157233
BaseRepresentation
bin100010111000…
…1011101000100
31021102020211221
41011301131010
514140244000
61452010124
7311316034
oct105613504
937366757
1018290500
11a362a18
126160944
133a352a7
1426018c4
15191461a
hex1171744

18290500 has 48 divisors (see below), whose sum is σ = 40373424. Its totient is φ = 7238400.

The previous prime is 18290491. The next prime is 18290507. The reversal of 18290500 is 509281.

It can be written as a sum of positive squares in 8 ways, for example, as 10705984 + 7584516 = 3272^2 + 2754^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (18290507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78384 + ... + 78616.

It is an arithmetic number, because the mean of its divisors is an integer number (841113).

Almost surely, 218290500 is an apocalyptic number.

18290500 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 18290500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20186712).

18290500 is an abundant number, since it is smaller than the sum of its proper divisors (22082924).

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

18290500 is a wasteful number, since it uses less digits than its factorization.

18290500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 25.

The square root of 18290500 is about 4276.7394122158. The cubic root of 18290500 is about 263.4764839723.

Adding to 18290500 its reverse (509281), we get a palindrome (18799781).

The spelling of 18290500 in words is "eighteen million, two hundred ninety thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 157 233 250 314 466 500 628 785 932 1165 1570 2330 3140 3925 4660 5825 7850 11650 15700 19625 23300 29125 36581 39250 58250 73162 78500 116500 146324 182905 365810 731620 914525 1829050 3658100 4572625 9145250 18290500