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131440 = 2453153
BaseRepresentation
bin100000000101110000
320200022011
4200011300
513201230
62452304
71055131
oct400560
9220264
10131440
118a831
1264094
1347a9a
1435c88
1528e2a
hex20170

131440 has 40 divisors (see below), whose sum is σ = 321408. Its totient is φ = 49920.

The previous prime is 131437. The next prime is 131441. The reversal of 131440 is 44131.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 131440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2454 + ... + 2506.

2131440 is an apocalyptic number.

131440 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 131440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160704).

131440 is an abundant number, since it is smaller than the sum of its proper divisors (189968).

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

131440 is a wasteful number, since it uses less digits than its factorization.

131440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 131440 is about 362.5465487355. The cubic root of 131440 is about 50.8443285959.

Adding to 131440 its reverse (44131), we get a palindrome (175571).

The spelling of 131440 in words is "one hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 40 53 62 80 106 124 155 212 248 265 310 424 496 530 620 848 1060 1240 1643 2120 2480 3286 4240 6572 8215 13144 16430 26288 32860 65720 131440