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81114720 = 2535347487
BaseRepresentation
bin1001101010110…
…11011001100000
312122122001110220
410311123121200
5131231132340
612014323040
72003315031
oct465333140
9178561426
1081114720
1141872765
12231b9480
1313a6089b
14aab6a88
1571c3ed0
hex4d5b660

81114720 has 96 divisors (see below), whose sum is σ = 256773888. Its totient is φ = 21523968.

The previous prime is 81114713. The next prime is 81114757. The reversal of 81114720 is 2741118.

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

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, 166317 + ... + 166803.

It is an arithmetic number, because the mean of its divisors is an integer number (2674728).

Almost surely, 281114720 is an apocalyptic number.

81114720 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 81114720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128386944).

81114720 is an abundant number, since it is smaller than the sum of its proper divisors (175659168).

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

81114720 is a wasteful number, since it uses less digits than its factorization.

81114720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 24.

The square root of 81114720 is about 9006.3710782979. The cubic root of 81114720 is about 432.8790400071.

Adding to 81114720 its reverse (2741118), we get a palindrome (83855838).

The spelling of 81114720 in words is "eighty-one million, one hundred fourteen thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 347 480 487 694 974 1041 1388 1461 1735 1948 2082 2435 2776 2922 3470 3896 4164 4870 5205 5552 5844 6940 7305 7792 8328 9740 10410 11104 11688 13880 14610 15584 16656 19480 20820 23376 27760 29220 33312 38960 41640 46752 55520 58440 77920 83280 116880 166560 168989 233760 337978 506967 675956 844945 1013934 1351912 1689890 2027868 2534835 2703824 3379780 4055736 5069670 5407648 6759560 8111472 10139340 13519120 16222944 20278680 27038240 40557360 81114720