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1745680144 = 24138392693
BaseRepresentation
bin110100000001100…
…1111011100010000
311111122210201222011
41220003033130100
512033343231034
6445115552304
761155015325
oct15003173420
94448721864
101745680144
1181643336a
1240875b694
1321a881640
14127bb6b4c
15a33c8864
hex680cf710

1745680144 has 20 divisors (see below), whose sum is σ = 3642429196. Its totient is φ = 805698432.

The previous prime is 1745680103. The next prime is 1745680147. The reversal of 1745680144 is 4410865471.

It can be written as a sum of positive squares in 2 ways, for example, as 519840000 + 1225840144 = 22800^2 + 35012^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1745680097 and 1745680106.

It is not an unprimeable number, because it can be changed into a prime (1745680147) 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 3 ways as a sum of consecutive naturals, for example, 4196139 + ... + 4196554.

Almost surely, 21745680144 is an apocalyptic number.

It is an amenable number.

1745680144 is an abundant number, since it is smaller than the sum of its proper divisors (1896749052).

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

1745680144 is a wasteful number, since it uses less digits than its factorization.

1745680144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8392714 (or 8392708 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 40.

The square root of 1745680144 is about 41781.3372691684. The cubic root of 1745680144 is about 1204.0787467397.

The spelling of 1745680144 in words is "one billion, seven hundred forty-five million, six hundred eighty thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 52 104 208 8392693 16785386 33570772 67141544 109105009 134283088 218210018 436420036 872840072 1745680144