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131761040 = 2451647013
BaseRepresentation
bin1111101101010…
…00001110010000
3100011221011011112
413312220032100
5232212323130
621024032452
73156643655
oct766501620
9304834145
10131761040
1168415024
1238162728
13213b4218
14136dbc2c
15b87a495
hex7da8390

131761040 has 20 divisors (see below), whose sum is σ = 306344604. Its totient is φ = 52704384.

The previous prime is 131761039. The next prime is 131761057. The reversal of 131761040 is 40167131.

It can be written as a sum of positive squares in 2 ways, for example, as 42042256 + 89718784 = 6484^2 + 9472^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 131760997 and 131761015.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 823427 + ... + 823586.

Almost surely, 2131761040 is an apocalyptic number.

131761040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131761040 is an abundant number, since it is smaller than the sum of its proper divisors (174583564).

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

131761040 is a wasteful number, since it uses less digits than its factorization.

131761040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1647026 (or 1647020 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 23.

The square root of 131761040 is about 11478.7211831284. The cubic root of 131761040 is about 508.8569041283.

The spelling of 131761040 in words is "one hundred thirty-one million, seven hundred sixty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1647013 3294026 6588052 8235065 13176104 16470130 26352208 32940260 65880520 131761040