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81042120 = 2334525013
BaseRepresentation
bin1001101010010…
…01101011001000
312122111100220000
410311021223020
5131221321440
612013003000
72002563255
oct465115310
9178440800
1081042120
1141823165
1223183460
1313a36823
14aa9842c
1571ac730
hex4d49ac8

81042120 has 80 divisors (see below), whose sum is σ = 272402460. Its totient is φ = 21610368.

The previous prime is 81042119. The next prime is 81042187. The reversal of 81042120 is 2124018.

It can be written as a sum of positive squares in 2 ways, for example, as 74960964 + 6081156 = 8658^2 + 2466^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 81042093 and 81042102.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9267 + ... + 15746.

Almost surely, 281042120 is an apocalyptic number.

It is an amenable number.

81042120 is an abundant number, since it is smaller than the sum of its proper divisors (191360340).

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

81042120 is a wasteful number, since it uses less digits than its factorization.

81042120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25036 (or 25023 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 81042120 is about 9002.3396958791. The cubic root of 81042120 is about 432.7498550742.

Adding to 81042120 its reverse (2124018), we get a palindrome (83166138).

The spelling of 81042120 in words is "eighty-one million, forty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 25013 50026 75039 100052 125065 150078 200104 225117 250130 300156 375195 450234 500260 600312 675351 750390 900468 1000520 1125585 1350702 1500780 1800936 2026053 2251170 2701404 3001560 3376755 4052106 4502340 5402808 6753510 8104212 9004680 10130265 13507020 16208424 20260530 27014040 40521060 81042120