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131196040 = 23518118121
BaseRepresentation
bin1111101000111…
…10010010001000
3100010212110010121
413310132102020
5232041233130
621003553024
73152101513
oct764362210
9303773117
10131196040
1168069588
1237b2b774
1321246cc1
14135d1d7a
15b7b7d7a
hex7d1e488

131196040 has 32 divisors (see below), whose sum is σ = 296838360. Its totient is φ = 52185600.

The previous prime is 131196031. The next prime is 131196047. The reversal of 131196040 is 40691131.

It can be written as a sum of positive squares in 4 ways, for example, as 53085796 + 78110244 = 7286^2 + 8838^2 .

It is a junction number, because it is equal to n+sod(n) for n = 131195996 and 131196014.

It is not an unprimeable number, because it can be changed into a prime (131196047) 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 7 ways as a sum of consecutive naturals, for example, 1821 + ... + 16300.

Almost surely, 2131196040 is an apocalyptic number.

131196040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131196040 is an abundant number, since it is smaller than the sum of its proper divisors (165642320).

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

131196040 is a wasteful number, since it uses less digits than its factorization.

131196040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18313 (or 18309 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 25.

The square root of 131196040 is about 11454.0839878185. The cubic root of 131196040 is about 508.1285247374.

The spelling of 131196040 in words is "one hundred thirty-one million, one hundred ninety-six thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 181 362 724 905 1448 1810 3620 7240 18121 36242 72484 90605 144968 181210 362420 724840 3279901 6559802 13119604 16399505 26239208 32799010 65598020 131196040