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75130112 = 28319467
BaseRepresentation
bin1000111101001…
…10010100000000
312020101000010202
410132212110000
5123213130422
611242144332
71601411141
oct436462400
9166330122
1075130112
1139455402
12211b20a8
13127468b5
149d99ac8
1568e0b92
hex47a6500

75130112 has 36 divisors (see below), whose sum is σ = 154820736. Its totient is φ = 36349440.

The previous prime is 75130093. The next prime is 75130117. The reversal of 75130112 is 21103157.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75130117) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3203 + ... + 12669.

It is an arithmetic number, because the mean of its divisors is an integer number (4300576).

Almost surely, 275130112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75130112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77410368).

75130112 is an abundant number, since it is smaller than the sum of its proper divisors (79690624).

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

75130112 is an equidigital number, since it uses as much as digits as its factorization.

75130112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9514 (or 9500 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 20.

The square root of 75130112 is about 8667.7628024768. The cubic root of 75130112 is about 421.9600600101.

Adding to 75130112 its reverse (21103157), we get a palindrome (96233269).

The spelling of 75130112 in words is "seventy-five million, one hundred thirty thousand, one hundred twelve".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 256 496 992 1984 3968 7936 9467 18934 37868 75736 151472 293477 302944 586954 605888 1173908 1211776 2347816 2423552 4695632 9391264 18782528 37565056 75130112