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12413520 = 243357821
BaseRepresentation
bin101111010110…
…101001010000
3212100200011000
4233112221100
511134213040
61122022000
7210341010
oct57265120
925320130
1012413520
117009509
1241a7900
1327582a2
141911c40
151153130
hexbd6a50

12413520 has 160 divisors (see below), whose sum is σ = 48925440. Its totient is φ = 2833920.

The previous prime is 12413509. The next prime is 12413521. The reversal of 12413520 is 2531421.

12413520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12413493 and 12413502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12413521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14710 + ... + 15530.

It is an arithmetic number, because the mean of its divisors is an integer number (305784).

Almost surely, 212413520 is an apocalyptic number.

12413520 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 12413520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24462720).

12413520 is an abundant number, since it is smaller than the sum of its proper divisors (36511920).

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

12413520 is a wasteful number, since it uses less digits than its factorization.

12413520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 850 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 12413520 is about 3523.2825603406. The cubic root of 12413520 is about 231.5429965216.

Adding to 12413520 its reverse (2531421), we get a palindrome (14944941).

It can be divided in two parts, 1241 and 3520, that added together give a square (4761 = 692).

The spelling of 12413520 in words is "twelve million, four hundred thirteen thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 35 36 40 42 45 48 54 56 60 63 70 72 80 84 90 105 108 112 120 126 135 140 144 168 180 189 210 216 240 252 270 280 315 336 360 378 420 432 504 540 560 630 720 756 821 840 945 1008 1080 1260 1512 1642 1680 1890 2160 2463 2520 3024 3284 3780 4105 4926 5040 5747 6568 7389 7560 8210 9852 11494 12315 13136 14778 15120 16420 17241 19704 22167 22988 24630 28735 29556 32840 34482 36945 39408 44334 45976 49260 51723 57470 59112 65680 68964 73890 86205 88668 91952 98520 103446 110835 114940 118224 137928 147780 155169 172410 177336 197040 206892 221670 229880 258615 275856 295560 310338 344820 354672 413784 443340 459760 517230 591120 620676 689640 775845 827568 886680 1034460 1241352 1379280 1551690 1773360 2068920 2482704 3103380 4137840 6206760 12413520