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81354112 = 277317109
BaseRepresentation
bin1001101100101…
…01110110000000
312200002012212021
410312111312000
5131311312422
612023411224
72005333000
oct466256600
9180065767
1081354112
1141a16604
12232b3b14
1313b15838
14ab3a000
15721edc7
hex4d95d80

81354112 has 128 divisors (see below), whose sum is σ = 201960000. Its totient is φ = 32514048.

The previous prime is 81354101. The next prime is 81354113. The reversal of 81354112 is 21145318.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81354113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 746314 + ... + 746422.

Almost surely, 281354112 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 81354112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100980000).

81354112 is an abundant number, since it is smaller than the sum of its proper divisors (120605888).

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

81354112 is a wasteful number, since it uses less digits than its factorization.

81354112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 135 counting only the distinct ones).

The product of its digits is 960, while the sum is 25.

The square root of 81354112 is about 9019.6514345068. The cubic root of 81354112 is about 433.3044703984.

The spelling of 81354112 in words is "eighty-one million, three hundred fifty-four thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 49 56 64 68 98 109 112 119 128 136 196 218 224 238 272 343 392 436 448 476 544 686 763 784 833 872 896 952 1088 1372 1526 1568 1666 1744 1853 1904 2176 2744 3052 3136 3332 3488 3706 3808 5341 5488 5831 6104 6272 6664 6976 7412 7616 10682 10976 11662 12208 12971 13328 13952 14824 15232 21364 21952 23324 24416 25942 26656 29648 37387 42728 43904 46648 48832 51884 53312 59296 74774 85456 90797 93296 97664 103768 106624 118592 149548 170912 181594 186592 207536 237184 299096 341824 363188 373184 415072 598192 635579 683648 726376 746368 830144 1196384 1271158 1452752 1660288 2392768 2542316 2905504 4785536 5084632 5811008 10169264 11622016 20338528 40677056 81354112