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12041376 = 253432917
BaseRepresentation
bin101101111011…
…110010100000
3211122202122220
4231323302200
511040311001
61110031040
7204231024
oct55736240
924582586
1012041376
116884956
124048480
132657a99
141856384
1510ccc36
hexb7bca0

12041376 has 48 divisors (see below), whose sum is σ = 32354784. Its totient is φ = 3919104.

The previous prime is 12041363. The next prime is 12041377. The reversal of 12041376 is 67314021.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (12041377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2670 + ... + 5586.

It is an arithmetic number, because the mean of its divisors is an integer number (674058).

Almost surely, 212041376 is an apocalyptic number.

12041376 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 12041376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16177392).

12041376 is an abundant number, since it is smaller than the sum of its proper divisors (20313408).

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

12041376 is a wasteful number, since it uses less digits than its factorization.

12041376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2973 (or 2965 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 12041376 is about 3470.0685872184. The cubic root of 12041376 is about 229.2056783099.

Adding to 12041376 its reverse (67314021), we get a palindrome (79355397).

The spelling of 12041376 in words is "twelve million, forty-one thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 86 96 129 172 258 344 516 688 1032 1376 2064 2917 4128 5834 8751 11668 17502 23336 35004 46672 70008 93344 125431 140016 250862 280032 376293 501724 752586 1003448 1505172 2006896 3010344 4013792 6020688 12041376