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81067392 = 273471117
BaseRepresentation
bin1001101010011…
…11110110000000
312122112122120000
410311033312000
5131223124032
612013320000
72003030040
oct465176600
9178478500
1081067392
114184014a
1223196000
1313a45193
14aaa3720
1571b4e7c
hex4d4fd80

81067392 has 160 divisors (see below), whose sum is σ = 275967120. Its totient is φ = 23141376.

The previous prime is 81067391. The next prime is 81067403. The reversal of 81067392 is 29376018.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81067391) 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 19 ways as a sum of consecutive naturals, for example, 72018 + ... + 73134.

Almost surely, 281067392 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 81067392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137983560).

81067392 is an abundant number, since it is smaller than the sum of its proper divisors (194899728).

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

81067392 is a wasteful number, since it uses less digits than its factorization.

81067392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1150 (or 1129 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 81067392 is about 9003.7432215718. The cubic root of 81067392 is about 432.7948329932.

The spelling of 81067392 in words is "eighty-one million, sixty-seven thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 128 144 162 168 189 192 216 224 252 288 324 336 378 384 432 448 504 567 576 648 672 756 864 896 1008 1117 1134 1152 1296 1344 1512 1728 2016 2234 2268 2592 2688 3024 3351 3456 4032 4468 4536 5184 6048 6702 7819 8064 8936 9072 10053 10368 12096 13404 15638 17872 18144 20106 23457 24192 26808 30159 31276 35744 36288 40212 46914 53616 60318 62552 70371 71488 72576 80424 90477 93828 107232 120636 125104 140742 142976 160848 180954 187656 211113 214464 241272 250208 281484 321696 361908 375312 422226 428928 482544 500416 562968 633339 643392 723816 750624 844452 965088 1000832 1125936 1266678 1286784 1447632 1501248 1688904 1930176 2251872 2533356 2895264 3002496 3377808 3860352 4503744 5066712 5790528 6755616 9007488 10133424 11581056 13511232 20266848 27022464 40533696 81067392