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54730080 = 2534541103
BaseRepresentation
bin1101000011000…
…1110101100000
310210222120120000
43100301311200
5103002330310
65233020000
71233124626
oct320616540
9123876500
1054730080
1128991579
12163b4600
13b453382
1473a9516
154c114c0
hex3431d60

54730080 has 240 divisors, whose sum is σ = 199783584. Its totient is φ = 14100480.

The previous prime is 54730073. The next prime is 54730103. The reversal of 54730080 is 8003745.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 531309 + ... + 531411.

Almost surely, 254730080 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 54730080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99891792).

54730080 is an abundant number, since it is smaller than the sum of its proper divisors (145053504).

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

54730080 is a wasteful number, since it uses less digits than its factorization.

54730080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 154 counting only the distinct ones).

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

The square root of 54730080 is about 7397.9781021574. The cubic root of 54730080 is about 379.6721086582.

The spelling of 54730080 in words is "fifty-four million, seven hundred thirty thousand, eighty".