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12148736 = 2131483
BaseRepresentation
bin101110010110…
…000000000000
3211212012221012
4232112000000
511102224421
61112220052
7205156025
oct56260000
924765835
1012148736
116948586
12409a628
132694902
14188354c
1510ee95b
hexb96000

12148736 has 28 divisors (see below), whose sum is σ = 24312372. Its totient is φ = 6070272.

The previous prime is 12148729. The next prime is 12148757. The reversal of 12148736 is 63784121.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 7451 + ... + 8933.

It is an arithmetic number, because the mean of its divisors is an integer number (868299).

Almost surely, 212148736 is an apocalyptic number.

12148736 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 12148736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12156186).

12148736 is an abundant number, since it is smaller than the sum of its proper divisors (12163636).

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

12148736 is an frugal number, since it uses more digits than its factorization.

12148736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1509 (or 1485 counting only the distinct ones).

The product of its digits is 8064, while the sum is 32.

The square root of 12148736 is about 3485.5036938727. The cubic root of 12148736 is about 229.8848573007.

The spelling of 12148736 in words is "twelve million, one hundred forty-eight thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 1483 2048 2966 4096 5932 8192 11864 23728 47456 94912 189824 379648 759296 1518592 3037184 6074368 12148736