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12041984 = 28172767
BaseRepresentation
bin101101111011…
…111100000000
3211122210111102
4231323330000
511040320414
61110033532
7204232553
oct55737400
924583442
1012041984
116885359
1240488a8
132658146
14185669a
1510ccede
hexb7bf00

12041984 has 36 divisors (see below), whose sum is σ = 25460064. Its totient is φ = 5664768.

The previous prime is 12041957. The next prime is 12041999. The reversal of 12041984 is 48914021.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 2969 + ... + 5735.

It is an arithmetic number, because the mean of its divisors is an integer number (707224).

Almost surely, 212041984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12041984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12730032).

12041984 is an abundant number, since it is smaller than the sum of its proper divisors (13418080).

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

12041984 is an equidigital number, since it uses as much as digits as its factorization.

12041984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2800 (or 2786 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 12041984 is about 3470.1561924501. The cubic root of 12041984 is about 229.2095359728.

The spelling of 12041984 in words is "twelve million, forty-one thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 544 1088 2176 2767 4352 5534 11068 22136 44272 47039 88544 94078 177088 188156 354176 376312 708352 752624 1505248 3010496 6020992 12041984