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54131 = 7111937
BaseRepresentation
bin1101001101110011
32202020212
431031303
53213011
61054335
7313550
oct151563
982225
1054131
1137740
12273ab
131b83c
1415a27
151108b
hexd373

54131 has 16 divisors (see below), whose sum is σ = 72960. Its totient is φ = 38880.

The previous prime is 54121. The next prime is 54133. The reversal of 54131 is 13145.

It is a cyclic number.

It is not a de Polignac number, because 54131 - 214 = 37747 is a prime.

It is a super-2 number, since 2×541312 = 5860330322, which contains 22 as substring.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54133) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1445 + ... + 1481.

It is an arithmetic number, because the mean of its divisors is an integer number (4560).

254131 is an apocalyptic number.

54131 is a deficient number, since it is larger than the sum of its proper divisors (18829).

54131 is a wasteful number, since it uses less digits than its factorization.

54131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74.

The product of its digits is 60, while the sum is 14.

The square root of 54131 is about 232.6606971536. The cubic root of 54131 is about 37.8281715656.

Adding to 54131 its sum of digits (14), we get a palindrome (54145).

Adding to 54131 its reverse (13145), we get a palindrome (67276).

The spelling of 54131 in words is "fifty-four thousand, one hundred thirty-one".

Divisors: 1 7 11 19 37 77 133 209 259 407 703 1463 2849 4921 7733 54131