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131600 = 2452747
BaseRepresentation
bin100000001000010000
320200112002
4200020100
513202400
62453132
71055450
oct401020
9220462
10131600
118a967
12641a8
1347b91
1435d60
1528ed5
hex20210

131600 has 60 divisors (see below), whose sum is σ = 369024. Its totient is φ = 44160.

The previous prime is 131591. The next prime is 131611. The reversal of 131600 is 6131.

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 131600.

It is an unprimeable number.

131600 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2777 + ... + 2823.

2131600 is an apocalyptic number.

131600 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 131600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184512).

131600 is an abundant number, since it is smaller than the sum of its proper divisors (237424).

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

131600 is a wasteful number, since it uses less digits than its factorization.

131600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 131600 is about 362.7671429443. The cubic root of 131600 is about 50.8649509176.

Adding to 131600 its reverse (6131), we get a palindrome (137731).

The spelling of 131600 in words is "one hundred thirty-one thousand, six hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 47 50 56 70 80 94 100 112 140 175 188 200 235 280 329 350 376 400 470 560 658 700 752 940 1175 1316 1400 1645 1880 2350 2632 2800 3290 3760 4700 5264 6580 8225 9400 13160 16450 18800 26320 32900 65800 131600