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71520384 = 2731314327
BaseRepresentation
bin1000100001101…
…01000010000000
311222120121112010
410100311002000
5121302123014
611032532520
71525625145
oct420650200
9158517463
1071520384
113740a361
121bb51140
1311a81870
1496da3cc
15642b359
hex4435080

71520384 has 64 divisors (see below), whose sum is σ = 204603840. Its totient is φ = 22004736.

The previous prime is 71520341. The next prime is 71520391. The reversal of 71520384 is 48302517.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2172 + ... + 12155.

It is an arithmetic number, because the mean of its divisors is an integer number (3196935).

Almost surely, 271520384 is an apocalyptic number.

It is an amenable number.

71520384 is an abundant number, since it is smaller than the sum of its proper divisors (133083456).

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

71520384 is a wasteful number, since it uses less digits than its factorization.

71520384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14357 (or 14345 counting only the distinct ones).

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

The square root of 71520384 is about 8456.9725079369. The cubic root of 71520384 is about 415.0909637540.

The spelling of 71520384 in words is "seventy-one million, five hundred twenty thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 624 832 1248 1664 2496 4992 14327 28654 42981 57308 85962 114616 171924 186251 229232 343848 372502 458464 558753 687696 745004 916928 1117506 1375392 1490008 1833856 2235012 2750784 2980016 4470024 5501568 5960032 8940048 11920064 17880096 23840128 35760192 71520384