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14800500 = 223253111323
BaseRepresentation
bin111000011101…
…011001110100
31000211221110200
4320131121310
512242104000
61245120500
7236542101
oct70353164
930757420
1014800500
118399920
124b59130
1330b28c0
141d73aa8
151475500
hexe1d674

14800500 has 288 divisors, whose sum is σ = 57238272. Its totient is φ = 3168000.

The previous prime is 14800463. The next prime is 14800507. The reversal of 14800500 is 500841.

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 (14800507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 643489 + ... + 643511.

It is an arithmetic number, because the mean of its divisors is an integer number (198744).

Almost surely, 214800500 is an apocalyptic number.

14800500 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 14800500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28619136).

14800500 is an abundant number, since it is smaller than the sum of its proper divisors (42437772).

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

14800500 is a wasteful number, since it uses less digits than its factorization.

14800500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 57 counting only the distinct ones).

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

The square root of 14800500 is about 3847.1417961910. The cubic root of 14800500 is about 245.5229700745.

The spelling of 14800500 in words is "fourteen million, eight hundred thousand, five hundred".