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12390048 = 2532113911
BaseRepresentation
bin101111010000…
…111010100000
3212022110221200
4233100322200
511132440143
61121321200
7210212406
oct57207240
925273850
1012390048
116aa2910
124196200
13274a6b8
141907476
15114b1d3
hexbd0ea0

12390048 has 72 divisors (see below), whose sum is σ = 38447136. Its totient is φ = 3753600.

The previous prime is 12390041. The next prime is 12390083. The reversal of 12390048 is 84009321.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (12390041) 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 11 ways as a sum of consecutive naturals, for example, 1213 + ... + 5123.

It is an arithmetic number, because the mean of its divisors is an integer number (533988).

Almost surely, 212390048 is an apocalyptic number.

12390048 is a gapful number since it is divisible by the number (18) 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 12390048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19223568).

12390048 is an abundant number, since it is smaller than the sum of its proper divisors (26057088).

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

12390048 is a wasteful number, since it uses less digits than its factorization.

12390048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3938 (or 3927 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 12390048 is about 3519.9499996449. The cubic root of 12390048 is about 231.3969674003.

Adding to 12390048 its reverse (84009321), we get a palindrome (96399369).

The spelling of 12390048 in words is "twelve million, three hundred ninety thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 3911 7822 11733 15644 23466 31288 35199 43021 46932 62576 70398 86042 93864 125152 129063 140796 172084 187728 258126 281592 344168 375456 387189 516252 563184 688336 774378 1032504 1126368 1376672 1548756 2065008 3097512 4130016 6195024 12390048