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14810000 = 24541481
BaseRepresentation
bin111000011111…
…101110010000
31000212102111112
4320133232100
512242410000
61245232452
7236611562
oct70375620
930772445
1014810000
1183a5a77
124b62728
1330b701a
141d77332
151478235
hexe1fb90

14810000 has 50 divisors (see below), whose sum is σ = 35880702. Its totient is φ = 5920000.

The previous prime is 14809973. The next prime is 14810023. The reversal of 14810000 is 1841.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 6330256 + 8479744 = 2516^2 + 2912^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a super-2 number, since 2×148100002 = 438672200000000, which contains 22 as substring.

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 9260 + ... + 10740.

Almost surely, 214810000 is an apocalyptic number.

14810000 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 14810000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17940351).

14810000 is an abundant number, since it is smaller than the sum of its proper divisors (21070702).

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

14810000 is an equidigital number, since it uses as much as digits as its factorization.

14810000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1509 (or 1488 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 14810000 is about 3848.3762809788. The cubic root of 14810000 is about 245.5754901323.

Adding to 14810000 its reverse (1841), we get a palindrome (14811841).

The spelling of 14810000 in words is "fourteen million, eight hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 1481 2000 2500 2962 5000 5924 7405 10000 11848 14810 23696 29620 37025 59240 74050 118480 148100 185125 296200 370250 592400 740500 925625 1481000 1851250 2962000 3702500 7405000 14810000