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81084840 = 23353171307
BaseRepresentation
bin1001101010101…
…00000110101000
312122120112111020
410311110012220
5131224203330
612013532440
72003131644
oct465240650
9178515436
1081084840
1141852271
12231a4120
1313a500c5
14aaa9c24
1571ba210
hex4d541a8

81084840 has 128 divisors (see below), whose sum is σ = 255467520. Its totient is φ = 20563200.

The previous prime is 81084827. The next prime is 81084847. The reversal of 81084840 is 4848018.

It is not an unprimeable number, because it can be changed into a prime (81084847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 263967 + ... + 264273.

It is an arithmetic number, because the mean of its divisors is an integer number (1995840).

Almost surely, 281084840 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 81084840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127733760).

81084840 is an abundant number, since it is smaller than the sum of its proper divisors (174382680).

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

81084840 is a wasteful number, since it uses less digits than its factorization.

81084840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 33.

The square root of 81084840 is about 9004.7120997842. The cubic root of 81084840 is about 432.8258806700.

The spelling of 81084840 in words is "eighty-one million, eighty-four thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 71 93 120 124 142 155 186 213 248 284 307 310 355 372 426 465 568 614 620 710 744 852 921 930 1065 1228 1240 1420 1535 1704 1842 1860 2130 2201 2456 2840 3070 3684 3720 4260 4402 4605 6140 6603 7368 8520 8804 9210 9517 11005 12280 13206 17608 18420 19034 21797 22010 26412 28551 33015 36840 38068 43594 44020 47585 52824 57102 65391 66030 76136 87188 88040 95170 108985 114204 130782 132060 142755 174376 190340 217970 228408 261564 264120 285510 326955 380680 435940 523128 571020 653910 675707 871880 1142040 1307820 1351414 2027121 2615640 2702828 3378535 4054242 5405656 6757070 8108484 10135605 13514140 16216968 20271210 27028280 40542420 81084840