Search a number
-
+
81167076 = 22331315737
BaseRepresentation
bin1001101011010…
…00001011100100
312122201201022000
410311220023210
5131234321301
612015405300
72003623464
oct465501344
9178651260
1081167076
11418a9031
1223223830
1313a7b673
14aacbba4
1571d4786
hex4d682e4

81167076 has 48 divisors (see below), whose sum is σ = 212076480. Its totient is φ = 26844480.

The previous prime is 81167063. The next prime is 81167081. The reversal of 81167076 is 67076118.

It is a happy number.

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 81167076.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11280 + ... + 17016.

It is an arithmetic number, because the mean of its divisors is an integer number (4418260).

Almost surely, 281167076 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 81167076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106038240).

81167076 is an abundant number, since it is smaller than the sum of its proper divisors (130909404).

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

81167076 is a wasteful number, since it uses less digits than its factorization.

81167076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5881 (or 5873 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 81167076 is about 9009.2772185120. The cubic root of 81167076 is about 432.9721547981.

The spelling of 81167076 in words is "eighty-one million, one hundred sixty-seven thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 131 262 393 524 786 1179 1572 2358 3537 4716 5737 7074 11474 14148 17211 22948 34422 51633 68844 103266 154899 206532 309798 619596 751547 1503094 2254641 3006188 4509282 6763923 9018564 13527846 20291769 27055692 40583538 81167076