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6800112 = 24361153
BaseRepresentation
bin11001111100001011110000
3110210111000000
4121330023300
53220100422
6401430000
7111541254
oct31741360
913714000
106800112
113925030
12233b300
131541247
14c90264
158e4cac
hex67c2f0

6800112 has 140 divisors (see below), whose sum is σ = 21956184. Its totient is φ = 2021760.

The previous prime is 6800099. The next prime is 6800113. The reversal of 6800112 is 2110086.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6800113) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 128278 + ... + 128330.

Almost surely, 26800112 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 6800112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10978092).

6800112 is an abundant number, since it is smaller than the sum of its proper divisors (15156072).

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

6800112 is a wasteful number, since it uses less digits than its factorization.

6800112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 6800112 is about 2607.7024370123. The cubic root of 6800112 is about 189.4546875691.

Adding to 6800112 its reverse (2110086), we get a palindrome (8910198).

The spelling of 6800112 in words is "six million, eight hundred thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 53 54 66 72 81 88 99 106 108 132 144 159 162 176 198 212 216 243 264 297 318 324 396 424 432 477 486 528 583 594 636 648 729 792 848 891 954 972 1166 1188 1272 1296 1431 1458 1584 1749 1782 1908 1944 2332 2376 2544 2673 2862 2916 3498 3564 3816 3888 4293 4664 4752 5247 5346 5724 5832 6996 7128 7632 8019 8586 9328 10494 10692 11448 11664 12879 13992 14256 15741 16038 17172 20988 21384 22896 25758 27984 31482 32076 34344 38637 41976 42768 47223 51516 62964 64152 68688 77274 83952 94446 103032 125928 128304 141669 154548 188892 206064 251856 283338 309096 377784 425007 566676 618192 755568 850014 1133352 1700028 2266704 3400056 6800112