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80115732 = 22322698273
BaseRepresentation
bin1001100011001…
…11100000010100
312120202022010100
410301213200110
5131002200412
611541054100
71661654364
oct461474024
9176668110
1080115732
1141250154
12229b7330
13137a0c78
14a8d69a4
157077edc
hex4c67814

80115732 has 36 divisors (see below), whose sum is σ = 203292180. Its totient is φ = 26602752.

The previous prime is 80115731. The next prime is 80115773. The reversal of 80115732 is 23751108.

80115732 is a `hidden beast` number, since 80 + 11 + 573 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 30074256 + 50041476 = 5484^2 + 7074^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 80115696 and 80115705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80115731) 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 11 ways as a sum of consecutive naturals, for example, 5548 + ... + 13820.

It is an arithmetic number, because the mean of its divisors is an integer number (5647005).

Almost surely, 280115732 is an apocalyptic number.

It is an amenable number.

80115732 is an abundant number, since it is smaller than the sum of its proper divisors (123176448).

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

80115732 is a wasteful number, since it uses less digits than its factorization.

80115732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8552 (or 8547 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 80115732 is about 8950.7391873521. The cubic root of 80115732 is about 431.0946187544.

The spelling of 80115732 in words is "eighty million, one hundred fifteen thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 269 538 807 1076 1614 2421 3228 4842 8273 9684 16546 24819 33092 49638 74457 99276 148914 297828 2225437 4450874 6676311 8901748 13352622 20028933 26705244 40057866 80115732