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12413412 = 22381143
BaseRepresentation
bin101111010110…
…100111100100
3212100200000000
4233112213210
511134212122
61122021300
7210340464
oct57264744
925320000
1012413412
117009420
1241a7830
13275821b
141911ba4
1511530ac
hexbd69e4

12413412 has 108 divisors (see below), whose sum is σ = 36372336. Its totient is φ = 3674160.

The previous prime is 12413411. The next prime is 12413419. The reversal of 12413412 is 21431421.

It is a tau number, because it is divible by the number of its divisors (108).

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (12413411) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 288663 + ... + 288705.

Almost surely, 212413412 is an apocalyptic number.

12413412 is a gapful number since it is divisible by the number (12) 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 12413412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18186168).

12413412 is an abundant number, since it is smaller than the sum of its proper divisors (23958924).

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

12413412 is an equidigital number, since it uses as much as digits as its factorization.

12413412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 59 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 12413412 is about 3523.2672336909. The cubic root of 12413412 is about 231.5423250302.

Adding to 12413412 its reverse (21431421), we get a palindrome (33844833).

Subtracting 12413412 from its reverse (21431421), we obtain a square (9018009 = 30032).

The spelling of 12413412 in words is "twelve million, four hundred thirteen thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 43 44 54 66 81 86 99 108 129 132 162 172 198 243 258 297 324 387 396 473 486 516 594 729 774 891 946 972 1161 1188 1419 1458 1548 1782 1892 2187 2322 2673 2838 2916 3483 3564 4257 4374 4644 5346 5676 6561 6966 8019 8514 8748 10449 10692 12771 13122 13932 16038 17028 20898 24057 25542 26244 31347 32076 38313 41796 48114 51084 62694 72171 76626 94041 96228 114939 125388 144342 153252 188082 229878 282123 288684 344817 376164 459756 564246 689634 1034451 1128492 1379268 2068902 3103353 4137804 6206706 12413412