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131480 = 23519173
BaseRepresentation
bin100000000110011000
320200100122
4200012120
513201410
62452412
71055216
oct400630
9220318
10131480
118a868
1264108
1347acb
1435cb6
1528e55
hex20198

131480 has 32 divisors (see below), whose sum is σ = 313200. Its totient is φ = 49536.

The previous prime is 131479. The next prime is 131489. The reversal of 131480 is 84131.

It is a happy number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 131480.

It is not an unprimeable number, because it can be changed into a prime (131489) 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, 674 + ... + 846.

2131480 is an apocalyptic number.

131480 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 131480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156600).

131480 is an abundant number, since it is smaller than the sum of its proper divisors (181720).

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

131480 is a wasteful number, since it uses less digits than its factorization.

131480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 131480 is about 362.6017098691. The cubic root of 131480 is about 50.8494857446.

The spelling of 131480 in words is "one hundred thirty-one thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 173 190 346 380 692 760 865 1384 1730 3287 3460 6574 6920 13148 16435 26296 32870 65740 131480