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12413232 = 24321319349
BaseRepresentation
bin101111010110…
…100100110000
3212100122202100
4233112210300
511134210412
61122020400
7210340116
oct57264460
925318670
1012413232
117009277
1241a7700
132758110
141911ab6
151152edc
hexbd6930

12413232 has 120 divisors (see below), whose sum is σ = 39494000. Its totient is φ = 3608064.

The previous prime is 12413227. The next prime is 12413239. The reversal of 12413232 is 23231421.

12413232 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 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 (12413239) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35394 + ... + 35742.

Almost surely, 212413232 is an apocalyptic number.

12413232 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 12413232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19747000).

12413232 is an abundant number, since it is smaller than the sum of its proper divisors (27080768).

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

12413232 is a wasteful number, since it uses less digits than its factorization.

12413232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 386 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 12413232 is about 3523.2416891266. The cubic root of 12413232 is about 231.5412058691.

Adding to 12413232 its reverse (23231421), we get a palindrome (35644653).

The spelling of 12413232 in words is "twelve million, four hundred thirteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 19 24 26 36 38 39 48 52 57 72 76 78 104 114 117 144 152 156 171 208 228 234 247 304 312 342 349 456 468 494 624 684 698 741 912 936 988 1047 1368 1396 1482 1872 1976 2094 2223 2736 2792 2964 3141 3952 4188 4446 4537 5584 5928 6282 6631 8376 8892 9074 11856 12564 13262 13611 16752 17784 18148 19893 25128 26524 27222 35568 36296 39786 40833 50256 53048 54444 59679 72592 79572 81666 86203 106096 108888 119358 159144 163332 172406 217776 238716 258609 318288 326664 344812 477432 517218 653328 689624 775827 954864 1034436 1379248 1551654 2068872 3103308 4137744 6206616 12413232