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12425640 = 2335176091
BaseRepresentation
bin101111011001…
…100110101000
3212101021202220
4233121212220
511140110030
61122154040
7210421233
oct57314650
925337686
1012425640
117017627
1241b2920
132760966
14191641a
151156a10
hexbd99a8

12425640 has 64 divisors (see below), whose sum is σ = 39476160. Its totient is φ = 3118080.

The previous prime is 12425629. The next prime is 12425641. The reversal of 12425640 is 4652421.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 12425640.

It is not an unprimeable number, because it can be changed into a prime (12425641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1006 + ... + 5085.

It is an arithmetic number, because the mean of its divisors is an integer number (616815).

Almost surely, 212425640 is an apocalyptic number.

12425640 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 12425640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19738080).

12425640 is an abundant number, since it is smaller than the sum of its proper divisors (27050520).

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

12425640 is a wasteful number, since it uses less digits than its factorization.

12425640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6122 (or 6118 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 12425640 is about 3525.0021276589. The cubic root of 12425640 is about 231.6183280498.

The spelling of 12425640 in words is "twelve million, four hundred twenty-five thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 680 1020 2040 6091 12182 18273 24364 30455 36546 48728 60910 73092 91365 103547 121820 146184 182730 207094 243640 310641 365460 414188 517735 621282 730920 828376 1035470 1242564 1553205 2070940 2485128 3106410 4141880 6212820 12425640