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75381320 = 2357269219
BaseRepresentation
bin1000111111000…
…11101001001000
312020211202201202
410133203221020
5123244200240
611251403332
71603505420
oct437435110
9166752652
1075381320
1139607113
12212b3548
1312804041
14a023480
156940315
hex47e3a48

75381320 has 32 divisors (see below), whose sum is σ = 193838400. Its totient is φ = 25844928.

The previous prime is 75381311. The next prime is 75381331. The reversal of 75381320 is 2318357.

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 7 ways as a sum of consecutive naturals, for example, 134330 + ... + 134889.

It is an arithmetic number, because the mean of its divisors is an integer number (6057450).

Almost surely, 275381320 is an apocalyptic number.

75381320 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

75381320 is an abundant number, since it is smaller than the sum of its proper divisors (118457080).

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

75381320 is a wasteful number, since it uses less digits than its factorization.

75381320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269237 (or 269233 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 75381320 is about 8682.2416460267. The cubic root of 75381320 is about 422.4298309061.

Adding to 75381320 its reverse (2318357), we get a palindrome (77699677).

The spelling of 75381320 in words is "seventy-five million, three hundred eighty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 269219 538438 1076876 1346095 1884533 2153752 2692190 3769066 5384380 7538132 9422665 10768760 15076264 18845330 37690660 75381320