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75675240 = 23325210209
BaseRepresentation
bin1001000001010…
…11011001101000
312021101200220200
410200223121220
5123333101430
611301552200
71606141344
oct440533150
9167350820
1075675240
1139797a23
1221415660
13128a7a64
14a09c624
15699c460
hex482b668

75675240 has 48 divisors (see below), whose sum is σ = 245945700. Its totient is φ = 20179968.

The previous prime is 75675209. The next prime is 75675241. The reversal of 75675240 is 4257657.

75675240 is a `hidden beast` number, since 7 + 567 + 52 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 75377124 + 298116 = 8682^2 + 546^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 75675195 and 75675204.

It is not an unprimeable number, because it can be changed into a prime (75675241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 104745 + ... + 105464.

Almost surely, 275675240 is an apocalyptic number.

It is an amenable number.

75675240 is an abundant number, since it is smaller than the sum of its proper divisors (170270460).

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

75675240 is a wasteful number, since it uses less digits than its factorization.

75675240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210226 (or 210219 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 75675240 is about 8699.1516827792. The cubic root of 75675240 is about 422.9781522173.

The spelling of 75675240 in words is "seventy-five million, six hundred seventy-five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 210209 420418 630627 840836 1051045 1261254 1681672 1891881 2102090 2522508 3153135 3783762 4204180 5045016 6306270 7567524 8408360 9459405 12612540 15135048 18918810 25225080 37837620 75675240