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12085948 = 227323383
BaseRepresentation
bin101110000110…
…101010111100
3211202000210201
4232012222330
511043222243
61111013244
7204505000
oct56065274
924660721
1012085948
116905396
12406a224
132672164
141868700
1510db04d
hexb86abc

12085948 has 48 divisors (see below), whose sum is σ = 25804800. Its totient is φ = 4941552.

The previous prime is 12085903. The next prime is 12085979. The reversal of 12085948 is 84958021.

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 15 ways as a sum of consecutive naturals, for example, 31365 + ... + 31747.

It is an arithmetic number, because the mean of its divisors is an integer number (537600).

Almost surely, 212085948 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 12085948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12902400).

12085948 is an abundant number, since it is smaller than the sum of its proper divisors (13718852).

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

12085948 is a wasteful number, since it uses less digits than its factorization.

12085948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 37.

The square root of 12085948 is about 3476.4850064397. The cubic root of 12085948 is about 229.4881370610.

It can be divided in two parts, 120 and 85948, that added together give a palindrome (86068).

The spelling of 12085948 in words is "twelve million, eighty-five thousand, nine hundred forty-eight".

Divisors: 1 2 4 7 14 23 28 46 49 92 98 161 196 322 343 383 644 686 766 1127 1372 1532 2254 2681 4508 5362 7889 8809 10724 15778 17618 18767 31556 35236 37534 61663 75068 123326 131369 246652 262738 431641 525476 863282 1726564 3021487 6042974 12085948