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75085460 = 22517321701
BaseRepresentation
bin1000111100110…
…11011010010100
312020021201212222
410132123122110
5123210213320
611241201512
71601134022
oct436333224
9166251788
1075085460
11394248aa
1221190298
131272c488
149d87712
1568d2825
hex479b694

75085460 has 24 divisors (see below), whose sum is σ = 158598216. Its totient is φ = 29859200.

The previous prime is 75085457. The next prime is 75085463. The reversal of 75085460 is 6458057.

It is an interprime number because it is at equal distance from previous prime (75085457) and next prime (75085463).

It can be written as a sum of positive squares in 4 ways, for example, as 36917776 + 38167684 = 6076^2 + 6178^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 75085460.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75085463) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7391 + ... + 14310.

It is an arithmetic number, because the mean of its divisors is an integer number (6608259).

Almost surely, 275085460 is an apocalyptic number.

It is an amenable number.

75085460 is an abundant number, since it is smaller than the sum of its proper divisors (83512756).

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

75085460 is a wasteful number, since it uses less digits than its factorization.

75085460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21883 (or 21881 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 35.

The square root of 75085460 is about 8665.1866685029. The cubic root of 75085460 is about 421.8764490851.

The spelling of 75085460 in words is "seventy-five million, eighty-five thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 173 346 692 865 1730 3460 21701 43402 86804 108505 217010 434020 3754273 7508546 15017092 18771365 37542730 75085460