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12413376 = 263223937
BaseRepresentation
bin101111010110…
…100111000000
3212100122221200
4233112213000
511134212001
61122021200
7210340413
oct57264700
925318850
1012413376
117009398
1241a7800
1327581c1
141911b7a
151153086
hexbd69c0

12413376 has 84 divisors (see below), whose sum is σ = 37167312. Its totient is φ = 3953664.

The previous prime is 12413333. The next prime is 12413377. The reversal of 12413376 is 67331421.

12413376 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12413377) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12780 + ... + 13716.

It is an arithmetic number, because the mean of its divisors is an integer number (442468).

Almost surely, 212413376 is an apocalyptic number.

12413376 is a gapful number since it is divisible by the number (16) 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 12413376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18583656).

12413376 is an abundant number, since it is smaller than the sum of its proper divisors (24753936).

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

12413376 is a wasteful number, since it uses less digits than its factorization.

12413376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 978 (or 965 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 12413376 is about 3523.2621247929. The cubic root of 12413376 is about 231.5421011988.

Adding to 12413376 its reverse (67331421), we get a palindrome (79744797).

The spelling of 12413376 in words is "twelve million, four hundred thirteen thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 138 144 184 192 207 276 288 368 414 552 576 736 828 937 1104 1472 1656 1874 2208 2811 3312 3748 4416 5622 6624 7496 8433 11244 13248 14992 16866 21551 22488 29984 33732 43102 44976 59968 64653 67464 86204 89952 129306 134928 172408 179904 193959 258612 269856 344816 387918 517224 539712 689632 775836 1034448 1379264 1551672 2068896 3103344 4137792 6206688 12413376