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54363540 = 22357211412
BaseRepresentation
bin1100111101100…
…0010110010100
310210021221202110
43033120112110
5102404113130
65221111020
71230040200
oct317302624
9123257673
1054363540
1128761150
1216258470
13b35559a
147311b00
154b8cab0
hex33d8594

54363540 has 216 divisors, whose sum is σ = 197993376. Its totient is φ = 11020800.

The previous prime is 54363539. The next prime is 54363563. The reversal of 54363540 is 4536345.

54363540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 54363498 and 54363507.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 1325920 + ... + 1325960.

It is an arithmetic number, because the mean of its divisors is an integer number (916636).

Almost surely, 254363540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54363540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98996688).

54363540 is an abundant number, since it is smaller than the sum of its proper divisors (143629836).

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

54363540 is a wasteful number, since it uses less digits than its factorization.

54363540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

The square root of 54363540 is about 7373.1635001538. The cubic root of 54363540 is about 378.8226254658.

Adding to 54363540 its reverse (4536345), we get a palindrome (58899885).

The spelling of 54363540 in words is "fifty-four million, three hundred sixty-three thousand, five hundred forty".