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12325040 = 2457131693
BaseRepresentation
bin101111000001…
…000010110000
3212012011202222
4233001002300
511123400130
61120100212
7206522030
oct57010260
925164688
1012325040
116a58a92
124164668
132726c30
1418cb8c0
151136ce5
hexbc10b0

12325040 has 80 divisors (see below), whose sum is σ = 35289408. Its totient is φ = 3898368.

The previous prime is 12325037. The next prime is 12325057. The reversal of 12325040 is 4052321.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×123250402 = 303813222003200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6434 + ... + 8126.

Almost surely, 212325040 is an apocalyptic number.

12325040 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 12325040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17644704).

12325040 is an abundant number, since it is smaller than the sum of its proper divisors (22964368).

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

12325040 is a wasteful number, since it uses less digits than its factorization.

12325040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1726 (or 1720 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 12325040 is about 3510.7036331767. The cubic root of 12325040 is about 230.9915603196.

Adding to 12325040 its reverse (4052321), we get a palindrome (16377361).

The spelling of 12325040 in words is "twelve million, three hundred twenty-five thousand, forty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 80 91 104 112 130 140 182 208 260 280 364 455 520 560 728 910 1040 1456 1693 1820 3386 3640 6772 7280 8465 11851 13544 16930 22009 23702 27088 33860 44018 47404 59255 67720 88036 94808 110045 118510 135440 154063 176072 189616 220090 237020 308126 352144 440180 474040 616252 770315 880360 948080 1232504 1540630 1760720 2465008 3081260 6162520 12325040