Search a number
-
+
81680769 = 3261148781
BaseRepresentation
bin1001101111001…
…01100110000001
312200200210221200
410313211212001
5131402241034
612034411413
72011163232
oct467454601
9180623850
1081680769
1142119a75
1223430b69
1313bcb421
14abc3089
157286a99
hex4de5981

81680769 has 12 divisors (see below), whose sum is σ = 119918292. Its totient is φ = 53560800.

The previous prime is 81680761. The next prime is 81680771. The reversal of 81680769 is 96708618.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 25250625 + 56430144 = 5025^2 + 7512^2 .

It is not a de Polignac number, because 81680769 - 23 = 81680761 is a prime.

It is a super-2 number, since 2×816807692 = 13343496048862722, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (81680761) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 73842 + ... + 74939.

It is an arithmetic number, because the mean of its divisors is an integer number (9993191).

Almost surely, 281680769 is an apocalyptic number.

It is an amenable number.

81680769 is a deficient number, since it is larger than the sum of its proper divisors (38237523).

81680769 is a wasteful number, since it uses less digits than its factorization.

81680769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148848 (or 148845 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 81680769 is about 9037.7413660715. The cubic root of 81680769 is about 433.8836376724.

The spelling of 81680769 in words is "eighty-one million, six hundred eighty thousand, seven hundred sixty-nine".

Divisors: 1 3 9 61 183 549 148781 446343 1339029 9075641 27226923 81680769