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73058020 = 22572127587
BaseRepresentation
bin1000101101011…
…00011011100100
312002110201202121
410112230123210
5122200324040
611125515324
71544661100
oct426543344
9162421677
1073058020
113826a632
1220572b44
131219c6c9
1499ba900
156631c4a
hex45ac6e4

73058020 has 72 divisors (see below), whose sum is σ = 180182016. Its totient is φ = 24808896.

The previous prime is 73057987. The next prime is 73058071. The reversal of 73058020 is 2085037.

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 23 ways as a sum of consecutive naturals, for example, 124167 + ... + 124753.

It is an arithmetic number, because the mean of its divisors is an integer number (2502528).

Almost surely, 273058020 is an apocalyptic number.

73058020 is a gapful number since it is divisible by the number (70) 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 73058020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90091008).

73058020 is an abundant number, since it is smaller than the sum of its proper divisors (107123996).

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

73058020 is a wasteful number, since it uses less digits than its factorization.

73058020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 73058020 is about 8547.3984346116. The cubic root of 73058020 is about 418.0446141799.

The spelling of 73058020 in words is "seventy-three million, fifty-eight thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 127 140 196 245 254 490 508 587 635 889 980 1174 1270 1778 2348 2540 2935 3556 4109 4445 5870 6223 8218 8890 11740 12446 16436 17780 20545 24892 28763 31115 41090 57526 62230 74549 82180 115052 124460 143815 149098 287630 298196 372745 521843 575260 745490 1043686 1490980 2087372 2609215 3652901 5218430 7305802 10436860 14611604 18264505 36529010 73058020