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73328960 = 265229153
BaseRepresentation
bin1000101111011…
…10100101000000
312002222111102102
410113232211000
5122233011320
611135405532
71550200025
oct427564500
9162874372
1073328960
1138435151
12206838a8
1312265b23
149a4b54c
156687175
hex45ee940

73328960 has 28 divisors (see below), whose sum is σ = 174615348. Its totient is φ = 29331456.

The previous prime is 73328947. The next prime is 73328989. The reversal of 73328960 is 6982337.

It can be written as a sum of positive squares in 2 ways, for example, as 20214016 + 53114944 = 4496^2 + 7288^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 114257 + ... + 114896.

Almost surely, 273328960 is an apocalyptic number.

It is an amenable number.

73328960 is an abundant number, since it is smaller than the sum of its proper divisors (101286388).

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

73328960 is a wasteful number, since it uses less digits than its factorization.

73328960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229170 (or 229160 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 38.

The square root of 73328960 is about 8563.2330343160. The cubic root of 73328960 is about 418.5607577366.

The spelling of 73328960 in words is "seventy-three million, three hundred twenty-eight thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 229153 458306 916612 1145765 1833224 2291530 3666448 4583060 7332896 9166120 14665792 18332240 36664480 73328960