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131436 = 22331217
BaseRepresentation
bin100000000101101100
320200022000
4200011230
513201221
62452300
71055124
oct400554
9220260
10131436
118a828
1264090
1347a96
1435c84
1528e26
hex2016c

131436 has 24 divisors (see below), whose sum is σ = 341040. Its totient is φ = 43776.

The previous prime is 131431. The next prime is 131437. The reversal of 131436 is 634131.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (131431) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 501 + ... + 716.

It is an arithmetic number, because the mean of its divisors is an integer number (14210).

2131436 is an apocalyptic number.

It is an amenable number.

131436 is an abundant number, since it is smaller than the sum of its proper divisors (209604).

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

131436 is a wasteful number, since it uses less digits than its factorization.

131436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1230 (or 1222 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 131436 is about 362.5410321605. The cubic root of 131436 is about 50.8438128235.

Adding to 131436 its reverse (634131), we get a palindrome (765567).

The spelling of 131436 in words is "one hundred thirty-one thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 1217 2434 3651 4868 7302 10953 14604 21906 32859 43812 65718 131436