Search a number
-
+
54706080 = 25351113797
BaseRepresentation
bin1101000010101…
…1111110100000
310210221100122010
43100223332200
5103001043310
65232312520
71232664642
oct320537640
9123840563
1054706080
1128975540
12163a2740
13b445480
1473a0892
154c09320
hex342bfa0

54706080 has 192 divisors, whose sum is σ = 202704768. Its totient is φ = 12226560.

The previous prime is 54706063. The next prime is 54706087. The reversal of 54706080 is 8060745.

It is a happy number.

54706080 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 not an unprimeable number, because it can be changed into a prime (54706087) 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 31 ways as a sum of consecutive naturals, for example, 68242 + ... + 69038.

It is an arithmetic number, because the mean of its divisors is an integer number (1055754).

Almost surely, 254706080 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 54706080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101352384).

54706080 is an abundant number, since it is smaller than the sum of its proper divisors (147998688).

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

54706080 is a wasteful number, since it uses less digits than its factorization.

54706080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 839 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 54706080 is about 7396.3558594757. The cubic root of 54706080 is about 379.6166031491.

The spelling of 54706080 in words is "fifty-four million, seven hundred six thousand, eighty".