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12325000 = 23551729
BaseRepresentation
bin101111000001…
…000010001000
3212012011201111
4233001002020
511123400000
61120100104
7206521642
oct57010210
925164644
1012325000
116a58a56
124164634
132726bcc
1418cb892
151136cba
hexbc1088

12325000 has 96 divisors (see below), whose sum is σ = 31638600. Its totient is φ = 4480000.

The previous prime is 12324979. The next prime is 12325013. The reversal of 12325000 is 52321.

It can be written as a sum of positive squares in 12 ways, for example, as 3786916 + 8538084 = 1946^2 + 2922^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 424986 + ... + 425014.

Almost surely, 212325000 is an apocalyptic number.

12325000 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 12325000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15819300).

12325000 is an abundant number, since it is smaller than the sum of its proper divisors (19313600).

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

12325000 is an equidigital number, since it uses as much as digits as its factorization.

12325000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 12325000 is about 3510.6979363084. The cubic root of 12325000 is about 230.9913104307.

Adding to 12325000 its reverse (52321), we get a palindrome (12377321).

The spelling of 12325000 in words is "twelve million, three hundred twenty-five thousand".

Divisors: 1 2 4 5 8 10 17 20 25 29 34 40 50 58 68 85 100 116 125 136 145 170 200 232 250 290 340 425 493 500 580 625 680 725 850 986 1000 1160 1250 1450 1700 1972 2125 2465 2500 2900 3125 3400 3625 3944 4250 4930 5000 5800 6250 7250 8500 9860 10625 12325 12500 14500 17000 18125 19720 21250 24650 25000 29000 36250 42500 49300 53125 61625 72500 85000 90625 98600 106250 123250 145000 181250 212500 246500 308125 362500 425000 493000 616250 725000 1232500 1540625 2465000 3081250 6162500 12325000