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54120832 = 27439833
BaseRepresentation
bin1100111001110…
…1000110000000
310202211121211021
43032131012000
5102323331312
65211555224
71225006453
oct316350600
9122747737
1054120832
1128605867
121615bb14
13b29bc7c
14728b49a
154b40c07
hex339d180

54120832 has 32 divisors (see below), whose sum is σ = 110337480. Its totient is φ = 26428416.

The previous prime is 54120827. The next prime is 54120839. The reversal of 54120832 is 23802145.

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 54120797 and 54120806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54120839) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 588 + ... + 10420.

Almost surely, 254120832 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 54120832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55168740).

54120832 is an abundant number, since it is smaller than the sum of its proper divisors (56216648).

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

54120832 is an equidigital number, since it uses as much as digits as its factorization.

54120832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9890 (or 9878 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 54120832 is about 7356.6862105163. The cubic root of 54120832 is about 378.2580286165.

Adding to 54120832 its reverse (23802145), we get a palindrome (77922977).

The spelling of 54120832 in words is "fifty-four million, one hundred twenty thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 16 32 43 64 86 128 172 344 688 1376 2752 5504 9833 19666 39332 78664 157328 314656 422819 629312 845638 1258624 1691276 3382552 6765104 13530208 27060416 54120832