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81107334 = 232711139421
BaseRepresentation
bin1001101010110…
…01100110000110
312122121200100100
410311121212012
5131230413314
612014224530
72003254350
oct465314606
9178550310
1081107334
1141868160
12231b5146
1313a5a409
14aab40d0
1571c1c09
hex4d59986

81107334 has 96 divisors (see below), whose sum is σ = 221195520. Its totient is φ = 20865600.

The previous prime is 81107321. The next prime is 81107339. The reversal of 81107334 is 43370118.

It is a junction number, because it is equal to n+sod(n) for n = 81107298 and 81107307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81107339) 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 47 ways as a sum of consecutive naturals, for example, 192444 + ... + 192864.

It is an arithmetic number, because the mean of its divisors is an integer number (2304120).

Almost surely, 281107334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81107334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110597760).

81107334 is an abundant number, since it is smaller than the sum of its proper divisors (140088186).

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

81107334 is a wasteful number, since it uses less digits than its factorization.

81107334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 81107334 is about 9005.9610258983. The cubic root of 81107334 is about 432.8659008316.

The spelling of 81107334 in words is "eighty-one million, one hundred seven thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 139 154 198 231 278 417 421 462 693 834 842 973 1251 1263 1386 1529 1946 2502 2526 2919 2947 3058 3789 4587 4631 5838 5894 7578 8757 8841 9174 9262 10703 13761 13893 17514 17682 21406 26523 27522 27786 32109 32417 41679 53046 58519 64218 64834 83358 96327 97251 117038 175557 192654 194502 291753 351114 409633 526671 583506 643709 819266 1053342 1228899 1287418 1931127 2457798 3686697 3862254 4505963 5793381 7373394 9011926 11586762 13517889 27035778 40553667 81107334