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12860500 = 225317289
BaseRepresentation
bin110001000011…
…110001010100
3220012101021211
4301003301110
511243014000
61135351204
7214212112
oct61036124
926171254
1012860500
117294314
124382504
132883883
1419caab2
1511e07ba
hexc43c54

12860500 has 72 divisors (see below), whose sum is σ = 30171960. Its totient is φ = 4787200.

The previous prime is 12860479. The next prime is 12860501. The reversal of 12860500 is 506821.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 7496644 + 5363856 = 2738^2 + 2316^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12860501) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 144456 + ... + 144544.

It is an arithmetic number, because the mean of its divisors is an integer number (419055).

Almost surely, 212860500 is an apocalyptic number.

12860500 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 12860500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15085980).

12860500 is an abundant number, since it is smaller than the sum of its proper divisors (17311460).

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

12860500 is a wasteful number, since it uses less digits than its factorization.

12860500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 12860500 is about 3586.1539286539. The cubic root of 12860500 is about 234.2893879909.

The spelling of 12860500 in words is "twelve million, eight hundred sixty thousand, five hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 89 100 125 170 178 250 289 340 356 425 445 500 578 850 890 1156 1445 1513 1700 1780 2125 2225 2890 3026 4250 4450 5780 6052 7225 7565 8500 8900 11125 14450 15130 22250 25721 28900 30260 36125 37825 44500 51442 72250 75650 102884 128605 144500 151300 189125 257210 378250 514420 643025 756500 1286050 2572100 3215125 6430250 12860500