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81361104 = 24311223691
BaseRepresentation
bin1001101100101…
…11100011010000
312200002120110020
410312113203100
5131312023404
612023503440
72005362246
oct466274320
9180076406
1081361104
1141a20890
12232b7b80
1313b18a86
14ab3c796
157221ed9
hex4d978d0

81361104 has 80 divisors (see below), whose sum is σ = 230651904. Its totient is φ = 24508800.

The previous prime is 81361079. The next prime is 81361123. The reversal of 81361104 is 40116318.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 117399 + ... + 118089.

Almost surely, 281361104 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 81361104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115325952).

81361104 is an abundant number, since it is smaller than the sum of its proper divisors (149290800).

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

81361104 is a wasteful number, since it uses less digits than its factorization.

81361104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 936 (or 930 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 81361104 is about 9020.0390243058. The cubic root of 81361104 is about 433.3168835307.

The spelling of 81361104 in words is "eighty-one million, three hundred sixty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 223 264 446 528 669 691 892 1338 1382 1784 2073 2453 2676 2764 3568 4146 4906 5352 5528 7359 7601 8292 9812 10704 11056 14718 15202 16584 19624 22803 29436 30404 33168 39248 45606 58872 60808 91212 117744 121616 154093 182424 308186 364848 462279 616372 924558 1232744 1695023 1849116 2465488 3390046 3698232 5085069 6780092 7396464 10170138 13560184 20340276 27120368 40680552 81361104