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81246096 = 24321134993
BaseRepresentation
bin1001101011110…
…11011110010000
312122212201200200
410311323132100
5131244333341
612021215200
72004403041
oct465733620
9178781620
1081246096
1141952438
1223261500
1313aa8619
14ab0c8c8
1571ecdb6
hex4d7b790

81246096 has 60 divisors (see below), whose sum is σ = 229434348. Its totient is φ = 26836992.

The previous prime is 81246089. The next prime is 81246103. The reversal of 81246096 is 69064218.

It is an interprime number because it is at equal distance from previous prime (81246089) and next prime (81246103).

It can be written as a sum of positive squares in 2 ways, for example, as 11289600 + 69956496 = 3360^2 + 8364^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 81246096.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13776 + ... + 18768.

Almost surely, 281246096 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 81246096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114717174).

81246096 is an abundant number, since it is smaller than the sum of its proper divisors (148188252).

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

81246096 is a wasteful number, since it uses less digits than its factorization.

81246096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5120 (or 5111 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 81246096 is about 9013.6616311020. The cubic root of 81246096 is about 433.1126155389.

The spelling of 81246096 in words is "eighty-one million, two hundred forty-six thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 113 144 226 339 452 678 904 1017 1356 1808 2034 2712 4068 4993 5424 8136 9986 14979 16272 19972 29958 39944 44937 59916 79888 89874 119832 179748 239664 359496 564209 718992 1128418 1692627 2256836 3385254 4513672 5077881 6770508 9027344 10155762 13541016 20311524 27082032 40623048 81246096