Search a number
-
+
12840048 = 243213193
BaseRepresentation
bin110000111110…
…110001110000
3220011100020100
4300332301300
511241340143
61135112400
7214065354
oct60766160
926140210
1012840048
11727aa11
124372700
132877480
1419c3464
1511d96d3
hexc3ec70

12840048 has 120 divisors (see below), whose sum is σ = 40848080. Its totient is φ = 3742848.

The previous prime is 12840031. The next prime is 12840089. The reversal of 12840048 is 84004821.

12840048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 675783 + ... + 675801.

Almost surely, 212840048 is an apocalyptic number.

12840048 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 12840048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20424040).

12840048 is an abundant number, since it is smaller than the sum of its proper divisors (28008032).

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

12840048 is a wasteful number, since it uses less digits than its factorization.

12840048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 12840048 is about 3583.3012711744. The cubic root of 12840048 is about 234.1651256145.

Adding to 12840048 its reverse (84004821), we get a palindrome (96844869).

The spelling of 12840048 in words is "twelve million, eight hundred forty thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 19 24 26 36 38 39 48 52 57 72 76 78 104 114 117 144 152 156 171 208 228 234 247 304 312 342 361 456 468 494 624 684 722 741 912 936 988 1083 1368 1444 1482 1872 1976 2166 2223 2736 2888 2964 3249 3952 4332 4446 4693 5776 5928 6498 6859 8664 8892 9386 11856 12996 13718 14079 17328 17784 18772 20577 25992 27436 28158 35568 37544 41154 42237 51984 54872 56316 61731 75088 82308 84474 89167 109744 112632 123462 164616 168948 178334 225264 246924 267501 329232 337896 356668 493848 535002 675792 713336 802503 987696 1070004 1426672 1605006 2140008 3210012 4280016 6420024 12840048