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12409216 = 27293343
BaseRepresentation
bin101111010101…
…100110000000
3212100110020121
4233111212000
511134043331
61121550024
7210322321
oct57254600
925313217
1012409216
117006256
1241a5314
132756341
141910448
151151c11
hexbd5980

12409216 has 32 divisors (see below), whose sum is σ = 25581600. Its totient is φ = 5988864.

The previous prime is 12409193. The next prime is 12409217. The reversal of 12409216 is 61290421.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12409217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2041 + ... + 5383.

It is an arithmetic number, because the mean of its divisors is an integer number (799425).

Almost surely, 212409216 is an apocalyptic number.

12409216 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 12409216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12790800).

12409216 is an abundant number, since it is smaller than the sum of its proper divisors (13172384).

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

12409216 is an equidigital number, since it uses as much as digits as its factorization.

12409216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3386 (or 3374 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 12409216 is about 3522.6717133449. The cubic root of 12409216 is about 231.5162333296.

Adding to 12409216 its reverse (61290421), we get a palindrome (73699637).

The spelling of 12409216 in words is "twelve million, four hundred nine thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 464 928 1856 3343 3712 6686 13372 26744 53488 96947 106976 193894 213952 387788 427904 775576 1551152 3102304 6204608 12409216