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54006714 = 23223731787
BaseRepresentation
bin1100111000000…
…1001110111010
310202121211021200
43032001032322
5102311203324
65205315030
71224022656
oct316011672
9122554250
1054006714
1128538053
1216105a76
13b25c048
14725ba66
154b1bec9
hex33813ba

54006714 has 48 divisors (see below), whose sum is σ = 123844032. Its totient is φ = 16974144.

The previous prime is 54006697. The next prime is 54006727. The reversal of 54006714 is 41760045.

54006714 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29329 + ... + 31115.

It is an arithmetic number, because the mean of its divisors is an integer number (2580084).

Almost surely, 254006714 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54006714, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61922016).

54006714 is an abundant number, since it is smaller than the sum of its proper divisors (69837318).

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

54006714 is a wasteful number, since it uses less digits than its factorization.

54006714 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1891 (or 1888 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 54006714 is about 7348.9260439877. The cubic root of 54006714 is about 377.9919793377.

Adding to 54006714 its reverse (41760045), we get a palindrome (95766759).

The spelling of 54006714 in words is "fifty-four million, six thousand, seven hundred fourteen".

Divisors: 1 2 3 6 9 18 23 46 69 73 138 146 207 219 414 438 657 1314 1679 1787 3358 3574 5037 5361 10074 10722 15111 16083 30222 32166 41101 82202 123303 130451 246606 260902 369909 391353 739818 782706 1174059 2348118 3000373 6000746 9001119 18002238 27003357 54006714