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12480500 = 2253109229
BaseRepresentation
bin101111100110…
…111111110100
3212111002000202
4233212333310
511143334000
61123300032
7211040204
oct57467764
925432022
1012480500
11705486a
12421a618
13277c916
14192c404
151167dd5
hexbe6ff4

12480500 has 48 divisors (see below), whose sum is σ = 27627600. Its totient is φ = 4924800.

The previous prime is 12480497. The next prime is 12480509. The reversal of 12480500 is 508421.

It can be written as a sum of positive squares in 8 ways, for example, as 729316 + 11751184 = 854^2 + 3428^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12480509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54386 + ... + 54614.

It is an arithmetic number, because the mean of its divisors is an integer number (575575).

Almost surely, 212480500 is an apocalyptic number.

12480500 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 12480500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13813800).

12480500 is an abundant number, since it is smaller than the sum of its proper divisors (15147100).

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

12480500 is a wasteful number, since it uses less digits than its factorization.

12480500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 12480500 is about 3532.7751131370. The cubic root of 12480500 is about 231.9586975622.

Adding to 12480500 its reverse (508421), we get a palindrome (12988921).

The spelling of 12480500 in words is "twelve million, four hundred eighty thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 109 125 218 229 250 436 458 500 545 916 1090 1145 2180 2290 2725 4580 5450 5725 10900 11450 13625 22900 24961 27250 28625 49922 54500 57250 99844 114500 124805 249610 499220 624025 1248050 2496100 3120125 6240250 12480500