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75115128 = 23311284527
BaseRepresentation
bin1000111101000…
…10101001111000
312020100020120210
410132202221320
5123212141003
611241551120
71601316354
oct436425170
9166306523
1075115128
1139445120
12211a54a0
131273cb2a
149d94464
1568db503
hex47a2a78

75115128 has 32 divisors (see below), whose sum is σ = 204860160. Its totient is φ = 22762080.

The previous prime is 75115123. The next prime is 75115141. The reversal of 75115128 is 82151157.

It is a junction number, because it is equal to n+sod(n) for n = 75115095 and 75115104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75115123) 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 7 ways as a sum of consecutive naturals, for example, 142000 + ... + 142527.

It is an arithmetic number, because the mean of its divisors is an integer number (6401880).

Almost surely, 275115128 is an apocalyptic number.

It is an amenable number.

75115128 is an abundant number, since it is smaller than the sum of its proper divisors (129745032).

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

75115128 is a wasteful number, since it uses less digits than its factorization.

75115128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284547 (or 284543 counting only the distinct ones).

The product of its digits is 2800, while the sum is 30.

The square root of 75115128 is about 8666.8984071581. The cubic root of 75115128 is about 421.9320061458.

The spelling of 75115128 in words is "seventy-five million, one hundred fifteen thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 284527 569054 853581 1138108 1707162 2276216 3129797 3414324 6259594 6828648 9389391 12519188 18778782 25038376 37557564 75115128