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75116080 = 2451372227
BaseRepresentation
bin1000111101000…
…10111000110000
312020100021220001
410132202320300
5123212203310
611241555344
71601322214
oct436427060
9166307801
1075116080
1139445906
12211a5b54
13127403b0
149d94944
1568db93a
hex47a2e30

75116080 has 40 divisors (see below), whose sum is σ = 188081712. Its totient is φ = 27734784.

The previous prime is 75116057. The next prime is 75116113. The reversal of 75116080 is 8061157.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35074 + ... + 37153.

Almost surely, 275116080 is an apocalyptic number.

It is an amenable number.

75116080 is an abundant number, since it is smaller than the sum of its proper divisors (112965632).

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

75116080 is a wasteful number, since it uses less digits than its factorization.

75116080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72253 (or 72247 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 28.

The square root of 75116080 is about 8666.9533285925. The cubic root of 75116080 is about 421.9337886432.

The spelling of 75116080 in words is "seventy-five million, one hundred sixteen thousand, eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 72227 144454 288908 361135 577816 722270 938951 1155632 1444540 1877902 2889080 3755804 4694755 5778160 7511608 9389510 15023216 18779020 37558040 75116080