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12019248 = 24321923191
BaseRepresentation
bin101101110110…
…011000110000
3211121122022100
4231312120300
511034103443
61105340400
7204106353
oct55663060
924548270
1012019248
11686a26a
124037700
13264a9a7
14184c29a
1510c63d3
hexb76630

12019248 has 120 divisors (see below), whose sum is σ = 37140480. Its totient is φ = 3611520.

The previous prime is 12019243. The next prime is 12019261. The reversal of 12019248 is 84291021.

12019248 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (12019243) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62833 + ... + 63023.

It is an arithmetic number, because the mean of its divisors is an integer number (309504).

Almost surely, 212019248 is an apocalyptic number.

12019248 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 12019248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18570240).

12019248 is an abundant number, since it is smaller than the sum of its proper divisors (25121232).

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

12019248 is a wasteful number, since it uses less digits than its factorization.

12019248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 12019248 is about 3466.8787114637. The cubic root of 12019248 is about 229.0651912311.

The spelling of 12019248 in words is "twelve million, nineteen thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 23 24 36 38 46 48 57 69 72 76 92 114 138 144 152 171 184 191 207 228 276 304 342 368 382 414 437 456 552 573 684 764 828 874 912 1104 1146 1311 1368 1528 1656 1719 1748 2292 2622 2736 3056 3312 3438 3496 3629 3933 4393 4584 5244 6876 6992 7258 7866 8786 9168 10488 10887 13179 13752 14516 15732 17572 20976 21774 26358 27504 29032 31464 32661 35144 39537 43548 52716 58064 62928 65322 70288 79074 83467 87096 105432 130644 158148 166934 174192 210864 250401 261288 316296 333868 500802 522576 632592 667736 751203 1001604 1335472 1502406 2003208 3004812 4006416 6009624 12019248