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1000540993 = 73127710733
BaseRepresentation
bin111011101000110…
…000101101000001
32120201200202012211
4323220300231001
54022114302433
6243141022121
733536313064
oct7350605501
92521622184
101000540993
11473863291
1223b0b4941
1312c3994ba
1496c4c8db
155cc8b8cd
hex3ba30b41

1000540993 has 8 divisors (see below), whose sum is σ = 1015135848. Its totient is φ = 985970304.

The previous prime is 1000540979. The next prime is 1000540997. The reversal of 1000540993 is 3990450001.

It can be written as a sum of positive squares in 4 ways, for example, as 64915249 + 935625744 = 8057^2 + 30588^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1000540993 - 213 = 1000532801 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1000540997) 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, 87855 + ... + 98587.

It is an arithmetic number, because the mean of its divisors is an integer number (126891981).

Almost surely, 21000540993 is an apocalyptic number.

It is an amenable number.

1000540993 is a deficient number, since it is larger than the sum of its proper divisors (14594855).

1000540993 is a wasteful number, since it uses less digits than its factorization.

1000540993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12083.

The product of its (nonzero) digits is 4860, while the sum is 31.

The square root of 1000540993 is about 31631.3292954944. The cubic root of 1000540993 is about 1000.1802984905.

Adding to 1000540993 its reverse (3990450001), we get a palindrome (4990990994).

The spelling of 1000540993 in words is "one billion, five hundred forty thousand, nine hundred ninety-three".

Divisors: 1 73 1277 10733 93221 783509 13706041 1000540993