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131488 = 257587
BaseRepresentation
bin100000000110100000
320200100221
4200012200
513201423
62452424
71055230
oct400640
9220327
10131488
118a875
1264114
1347b06
1435cc0
1528e5d
hex201a0

131488 has 24 divisors (see below), whose sum is σ = 296352. Its totient is φ = 56256.

The previous prime is 131479. The next prime is 131489. The reversal of 131488 is 884131.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (131489) by changing a digit.

131488 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 70 + ... + 517.

It is an arithmetic number, because the mean of its divisors is an integer number (12348).

2131488 is an apocalyptic number.

It is an amenable number.

131488 is an abundant number, since it is smaller than the sum of its proper divisors (164864).

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

131488 is an equidigital number, since it uses as much as digits as its factorization.

131488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 596 counting only the distinct ones).

The product of its digits is 768, while the sum is 25.

The square root of 131488 is about 362.6127410889. The cubic root of 131488 is about 50.8505170488.

The spelling of 131488 in words is "one hundred thirty-one thousand, four hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 587 1174 2348 4109 4696 8218 9392 16436 18784 32872 65744 131488