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12074016 = 253173727
BaseRepresentation
bin101110000011…
…110000100000
3211201102102210
4232003300200
511042332031
61110442120
7204425133
oct56036040
924642383
1012074016
1168a7429
124063340
1326698b6
14186421a
1510d7746
hexb83c20

12074016 has 48 divisors (see below), whose sum is σ = 31921344. Its totient is φ = 3995904.

The previous prime is 12074009. The next prime is 12074021. The reversal of 12074016 is 61047021.

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

It is a junction number, because it is equal to n+sod(n) for n = 12073983 and 12074001.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16245 + ... + 16971.

It is an arithmetic number, because the mean of its divisors is an integer number (665028).

Almost surely, 212074016 is an apocalyptic number.

12074016 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 12074016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15960672).

12074016 is an abundant number, since it is smaller than the sum of its proper divisors (19847328).

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

12074016 is a wasteful number, since it uses less digits than its factorization.

12074016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 12074016 is about 3474.7684814963. The cubic root of 12074016 is about 229.4125905373.

The spelling of 12074016 in words is "twelve million, seventy-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 173 346 519 692 727 1038 1384 1454 2076 2181 2768 2908 4152 4362 5536 5816 8304 8724 11632 16608 17448 23264 34896 69792 125771 251542 377313 503084 754626 1006168 1509252 2012336 3018504 4024672 6037008 12074016