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131230440 = 2332511311069
BaseRepresentation
bin1111101001001…
…10101011101000
3100010221012022200
413310212223220
5232043333230
621004420200
73152304015
oct764465350
9303835280
10131230440
1168092410
1237b47660
1321259863
141360070c
15b7c3160
hex7d26ae8

131230440 has 192 divisors, whose sum is σ = 480729600. Its totient is φ = 30758400.

The previous prime is 131230399. The next prime is 131230447. The reversal of 131230440 is 44032131.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (131230447) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 122226 + ... + 123294.

It is an arithmetic number, because the mean of its divisors is an integer number (2503800).

Almost surely, 2131230440 is an apocalyptic number.

131230440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131230440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240364800).

131230440 is an abundant number, since it is smaller than the sum of its proper divisors (349499160).

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

131230440 is a wasteful number, since it uses less digits than its factorization.

131230440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1128 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 131230440 is about 11455.5855371954. The cubic root of 131230440 is about 508.1729318037.

Adding to 131230440 its reverse (44032131), we get a palindrome (175262571).

The spelling of 131230440 in words is "one hundred thirty-one million, two hundred thirty thousand, four hundred forty".