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75120871 = 7243101353
BaseRepresentation
bin1000111101001…
…00000011100111
312020100112110111
410132210003213
5123212331441
611242033451
71601342200
oct436440347
9166315414
1075120871
1139449471
12211a8887
1312742627
149d965a7
1568dd081
hex47a40e7

75120871 has 24 divisors (see below), whose sum is σ = 90558864. Its totient is φ = 62092800.

The previous prime is 75120847. The next prime is 75120901. The reversal of 75120871 is 17802157.

It is a happy number.

It is not a de Polignac number, because 75120871 - 29 = 75120359 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75120271) by changing a digit.

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, 212631 + ... + 212983.

It is an arithmetic number, because the mean of its divisors is an integer number (3773286).

Almost surely, 275120871 is an apocalyptic number.

75120871 is a deficient number, since it is larger than the sum of its proper divisors (15437993).

75120871 is a wasteful number, since it uses less digits than its factorization.

75120871 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 31.

The square root of 75120871 is about 8667.2297188894. The cubic root of 75120871 is about 421.9427589454.

The spelling of 75120871 in words is "seventy-five million, one hundred twenty thousand, eight hundred seventy-one".

Divisors: 1 7 43 49 101 301 353 707 2107 2471 4343 4949 15179 17297 30401 35653 106253 212807 249571 743771 1533079 1746997 10731553 75120871