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81368112 = 24372310529
BaseRepresentation
bin1001101100110…
…01010000110000
312200002221001210
410312121100300
5131312234422
612024000120
72005421550
oct466312060
9180087053
1081368112
1141a26081
1223300040
1313b1c017
14ab41160
15722410c
hex4d99430

81368112 has 80 divisors (see below), whose sum is σ = 250698240. Its totient is φ = 22235136.

The previous prime is 81368047. The next prime is 81368117. The reversal of 81368112 is 21186318.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 81368112.

It is not an unprimeable number, because it can be changed into a prime (81368117) 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, 2464 + ... + 12992.

It is an arithmetic number, because the mean of its divisors is an integer number (3133728).

Almost surely, 281368112 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 81368112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125349120).

81368112 is an abundant number, since it is smaller than the sum of its proper divisors (169330128).

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

81368112 is a wasteful number, since it uses less digits than its factorization.

81368112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10570 (or 10564 counting only the distinct ones).

The product of its digits is 2304, while the sum is 30.

The square root of 81368112 is about 9020.4274843269. The cubic root of 81368112 is about 433.3293243548.

The spelling of 81368112 in words is "eighty-one million, three hundred sixty-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 42 46 48 56 69 84 92 112 138 161 168 184 276 322 336 368 483 552 644 966 1104 1288 1932 2576 3864 7728 10529 21058 31587 42116 63174 73703 84232 126348 147406 168464 221109 242167 252696 294812 442218 484334 505392 589624 726501 884436 968668 1179248 1453002 1695169 1768872 1937336 2906004 3390338 3537744 3874672 5085507 5812008 6780676 10171014 11624016 13561352 20342028 27122704 40684056 81368112