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54124014 = 23723431303
BaseRepresentation
bin1100111001110…
…1110111101110
310202211210012010
43032131313232
5102323432024
65212022050
71225021650
oct316356756
9122753163
1054124014
112860819a
1216161926
13b2a0559
14728c6d0
154b41b29
hex339ddee

54124014 has 64 divisors (see below), whose sum is σ = 132194304. Its totient is φ = 14436576.

The previous prime is 54124013. The next prime is 54124043. The reversal of 54124014 is 41042145.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54124013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40887 + ... + 42189.

It is an arithmetic number, because the mean of its divisors is an integer number (2065536).

Almost surely, 254124014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54124014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66097152).

54124014 is an abundant number, since it is smaller than the sum of its proper divisors (78070290).

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

54124014 is a wasteful number, since it uses less digits than its factorization.

54124014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1381.

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 54124014 is about 7356.9024731880. The cubic root of 54124014 is about 378.2654416182.

Adding to 54124014 its reverse (41042145), we get a palindrome (95166159).

The spelling of 54124014 in words is "fifty-four million, one hundred twenty-four thousand, fourteen".

Divisors: 1 2 3 6 7 14 21 23 42 43 46 69 86 129 138 161 258 301 322 483 602 903 966 989 1303 1806 1978 2606 2967 3909 5934 6923 7818 9121 13846 18242 20769 27363 29969 41538 54726 56029 59938 89907 112058 168087 179814 209783 336174 392203 419566 629349 784406 1176609 1258698 1288667 2353218 2577334 3866001 7732002 9020669 18041338 27062007 54124014