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18252000 = 253353132
BaseRepresentation
bin100010110100…
…0000011100000
31021100022001000
41011220003200
514133031000
61451112000
7311065554
oct105500340
937308030
1018252000
11a336aa8
126142600
133a20900
1425d1864
151908000
hex11680e0

18252000 has 288 divisors, whose sum is σ = 71940960. Its totient is φ = 4492800.

The previous prime is 18251977. The next prime is 18252001. The reversal of 18252000 is 25281.

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 is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18252001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1403994 + ... + 1404006.

It is an arithmetic number, because the mean of its divisors is an integer number (249795).

Almost surely, 218252000 is an apocalyptic number.

18252000 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 18252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35970480).

18252000 is an abundant number, since it is smaller than the sum of its proper divisors (53688960).

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

18252000 is a wasteful number, since it uses less digits than its factorization.

18252000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 18252000 is about 4272.2359485403. The cubic root of 18252000 is about 263.2914886599.

Adding to 18252000 its reverse (25281), we get a palindrome (18277281).

The spelling of 18252000 in words is "eighteen million, two hundred fifty-two thousand".