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81112368 = 24319231151
BaseRepresentation
bin1001101010110…
…10110100110000
312122121221020210
410311122310300
5131231043433
612014304120
72003305131
oct465326460
9178557223
1081112368
1141870a17
12231b8040
1313a5c7ac
14aab5c88
1571c3463
hex4d5ad30

81112368 has 120 divisors (see below), whose sum is σ = 229794816. Its totient is φ = 24624000.

The previous prime is 81112363. The next prime is 81112379. The reversal of 81112368 is 86321118.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (81112363) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 537093 + ... + 537243.

Almost surely, 281112368 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 81112368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114897408).

81112368 is an abundant number, since it is smaller than the sum of its proper divisors (148682448).

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

81112368 is a wasteful number, since it uses less digits than its factorization.

81112368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 206 counting only the distinct ones).

The product of its digits is 2304, while the sum is 30.

The square root of 81112368 is about 9006.2405031178. The cubic root of 81112368 is about 432.8748560508.

The spelling of 81112368 in words is "eighty-one million, one hundred twelve thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 31 38 48 57 62 76 93 114 124 151 152 186 228 248 302 304 361 372 453 456 496 589 604 722 744 906 912 1083 1178 1208 1444 1488 1767 1812 2166 2356 2416 2869 2888 3534 3624 4332 4681 4712 5738 5776 7068 7248 8607 8664 9362 9424 11191 11476 14043 14136 17214 17328 18724 22382 22952 28086 28272 33573 34428 37448 44764 45904 54511 56172 67146 68856 74896 88939 89528 109022 112344 134292 137712 163533 177878 179056 218044 224688 266817 268584 327066 355756 436088 533634 537168 654132 711512 872176 1067268 1308264 1423024 1689841 2134536 2616528 3379682 4269072 5069523 6759364 10139046 13518728 20278092 27037456 40556184 81112368