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12386416 = 24733761
BaseRepresentation
bin101111010000…
…000001110000
3212022021222011
4233100001300
511132331131
61121252304
7210166000
oct57200160
925267864
1012386416
116aa0109
124194094
132748b53
141906000
15114a0b1
hexbd0070

12386416 has 80 divisors (see below), whose sum is σ = 29214400. Its totient is φ = 5080320.

The previous prime is 12386411. The next prime is 12386419. The reversal of 12386416 is 61468321.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12386411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 203026 + ... + 203086.

It is an arithmetic number, because the mean of its divisors is an integer number (365180).

Almost surely, 212386416 is an apocalyptic number.

12386416 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 12386416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14607200).

12386416 is an abundant number, since it is smaller than the sum of its proper divisors (16827984).

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

12386416 is an equidigital number, since it uses as much as digits as its factorization.

12386416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 107 counting only the distinct ones).

The product of its digits is 6912, while the sum is 31.

The square root of 12386416 is about 3519.4340454113. The cubic root of 12386416 is about 231.3743547378.

The spelling of 12386416 in words is "twelve million, three hundred eighty-six thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 37 49 56 61 74 98 112 122 148 196 244 259 296 343 392 427 488 518 592 686 784 854 976 1036 1372 1708 1813 2072 2257 2744 2989 3416 3626 4144 4514 5488 5978 6832 7252 9028 11956 12691 14504 15799 18056 20923 23912 25382 29008 31598 36112 41846 47824 50764 63196 83692 101528 110593 126392 167384 203056 221186 252784 334768 442372 774151 884744 1548302 1769488 3096604 6193208 12386416