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54136500 = 223531117193
BaseRepresentation
bin1100111010000…
…0111010110100
310202212102022120
43032200322310
5102324332000
65212155540
71225103235
oct316407264
9122772276
1054136500
1128616610
1216168bb0
13b2a6142
14729308c
154b456a0
hex33a0eb4

54136500 has 192 divisors, whose sum is σ = 183036672. Its totient is φ = 12288000.

The previous prime is 54136499. The next prime is 54136507. The reversal of 54136500 is 563145.

54136500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54136507) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 280404 + ... + 280596.

It is an arithmetic number, because the mean of its divisors is an integer number (953316).

Almost surely, 254136500 is an apocalyptic number.

54136500 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54136500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91518336).

54136500 is an abundant number, since it is smaller than the sum of its proper divisors (128900172).

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

54136500 is a wasteful number, since it uses less digits than its factorization.

54136500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 54136500 is about 7357.7510150861. The cubic root of 54136500 is about 378.2945270389.

Adding to 54136500 its reverse (563145), we get a palindrome (54699645).

The spelling of 54136500 in words is "fifty-four million, one hundred thirty-six thousand, five hundred".