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131954 = 2173881
BaseRepresentation
bin100000001101110010
320201000012
4200031302
513210304
62454522
71056464
oct401562
9221005
10131954
1190159
1264442
13480a4
1436134
152916e
hex20372

131954 has 8 divisors (see below), whose sum is σ = 209628. Its totient is φ = 62080.

The previous prime is 131947. The next prime is 131959. The reversal of 131954 is 459131.

131954 = T116 + T117 + ... + T132.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 126025 + 5929 = 355^2 + 77^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a Curzon number.

It is a nialpdrome in base 12.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 131954.

It is not an unprimeable number, because it can be changed into a prime (131959) by changing a digit.

131954 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 (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1907 + ... + 1974.

2131954 is an apocalyptic number.

131954 is a deficient number, since it is larger than the sum of its proper divisors (77674).

131954 is a wasteful number, since it uses less digits than its factorization.

131954 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3900.

The product of its digits is 540, while the sum is 23.

The square root of 131954 is about 363.2547315590. The cubic root of 131954 is about 50.9105184742.

The spelling of 131954 in words is "one hundred thirty-one thousand, nine hundred fifty-four".

Divisors: 1 2 17 34 3881 7762 65977 131954