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12798144 = 2632171307
BaseRepresentation
bin110000110100…
…100011000000
3220002012202100
4300310203000
511234020034
61134150400
7213532242
oct60644300
926065670
1012798144
117251487
124352400
132861388
1419b2092
1511cc099
hexc348c0

12798144 has 84 divisors (see below), whose sum is σ = 38871144. Its totient is φ = 4012032.

The previous prime is 12798131. The next prime is 12798151. The reversal of 12798144 is 44189721.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12798099 and 12798108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9139 + ... + 10445.

Almost surely, 212798144 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 12798144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19435572).

12798144 is an abundant number, since it is smaller than the sum of its proper divisors (26073000).

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

12798144 is a wasteful number, since it uses less digits than its factorization.

12798144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1342 (or 1329 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 12798144 is about 3577.4493707109. The cubic root of 12798144 is about 233.9101123086.

The spelling of 12798144 in words is "twelve million, seven hundred ninety-eight thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 136 144 153 192 204 272 288 306 408 544 576 612 816 1088 1224 1307 1632 2448 2614 3264 3921 4896 5228 7842 9792 10456 11763 15684 20912 22219 23526 31368 41824 44438 47052 62736 66657 83648 88876 94104 125472 133314 177752 188208 199971 250944 266628 355504 376416 399942 533256 711008 752832 799884 1066512 1422016 1599768 2133024 3199536 4266048 6399072 12798144