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12505000 = 23544161
BaseRepresentation
bin101111101100…
…111110101000
3212112022122011
4233230332220
511200130000
61124005304
7211201504
oct57547650
925468564
1012505000
117071212
124230834
13278ab11
141937304
1511702ba
hexbecfa8

12505000 has 80 divisors (see below), whose sum is σ = 30505860. Its totient is φ = 4800000.

The previous prime is 12504977. The next prime is 12505037. The reversal of 12505000 is 50521.

It can be written as a sum of positive squares in 10 ways, for example, as 7279204 + 5225796 = 2698^2 + 2286^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 204970 + ... + 205030.

It is a vampire number, since it can be written as 25015000 (with its own digits).

Almost surely, 212505000 is an apocalyptic number.

12505000 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 12505000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15252930).

12505000 is an abundant number, since it is smaller than the sum of its proper divisors (18000860).

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

12505000 is an equidigital number, since it uses as much as digits as its factorization.

12505000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 13.

The square root of 12505000 is about 3536.2409420174. The cubic root of 12505000 is about 232.1103814813.

Adding to 12505000 its reverse (50521), we get a palindrome (12555521).

It can be divided in two parts, 1250 and 5000, that multiplied together give a 4-th power (6250000 = 504).

The spelling of 12505000 in words is "twelve million, five hundred five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 61 82 100 122 125 164 200 205 244 250 305 328 410 488 500 610 625 820 1000 1025 1220 1250 1525 1640 2050 2440 2500 2501 3050 4100 5000 5002 5125 6100 7625 8200 10004 10250 12200 12505 15250 20008 20500 25010 25625 30500 38125 41000 50020 51250 61000 62525 76250 100040 102500 125050 152500 205000 250100 305000 312625 500200 625250 1250500 1563125 2501000 3126250 6252500 12505000