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81081120 = 2535315449
BaseRepresentation
bin1001101010100…
…11001100100000
312122120100101110
410311103030200
5131224043440
612013503320
72003115051
oct465231440
9178510343
1081081120
114184a49a
12231a1b40
1313a4b4c3
14aaa8728
1571b9080
hex4d53320

81081120 has 96 divisors (see below), whose sum is σ = 263692800. Its totient is φ = 20920320.

The previous prime is 81081103. The next prime is 81081127. The reversal of 81081120 is 2118018.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (81081127) 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 15 ways as a sum of consecutive naturals, for example, 12156 + ... + 17604.

It is an arithmetic number, because the mean of its divisors is an integer number (2746800).

Almost surely, 281081120 is an apocalyptic number.

81081120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81081120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131846400).

81081120 is an abundant number, since it is smaller than the sum of its proper divisors (182611680).

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

81081120 is a wasteful number, since it uses less digits than its factorization.

81081120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5498 (or 5490 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 21.

The square root of 81081120 is about 9004.5055388955. The cubic root of 81081120 is about 432.8192615251.

Adding to 81081120 its reverse (2118018), we get a palindrome (83199138).

The spelling of 81081120 in words is "eighty-one million, eighty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 80 93 96 120 124 155 160 186 240 248 310 372 465 480 496 620 744 930 992 1240 1488 1860 2480 2976 3720 4960 5449 7440 10898 14880 16347 21796 27245 32694 43592 54490 65388 81735 87184 108980 130776 163470 168919 174368 217960 261552 326940 337838 435920 506757 523104 653880 675676 844595 871840 1013514 1307760 1351352 1689190 2027028 2533785 2615520 2702704 3378380 4054056 5067570 5405408 6756760 8108112 10135140 13513520 16216224 20270280 27027040 40540560 81081120