Search a number
-
+
1006504693 = 10122943517
BaseRepresentation
bin111011111111100…
…000101011110101
32121010220201212121
4323333200223311
54030131122233
6243512515541
733641102005
oct7377405365
92533821777
101006504693
11477166967
122410abbb1
131306a6b0c
1497962005
155d56892d
hex3bfe0af5

1006504693 has 8 divisors (see below), whose sum is σ = 1020932280. Its totient is φ = 992164800.

The previous prime is 1006504663. The next prime is 1006504781. The reversal of 1006504693 is 3964056001.

It can be written as a sum of positive squares in 4 ways, for example, as 287031364 + 719473329 = 16942^2 + 26823^2 .

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 1006504693 - 25 = 1006504661 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006504663) 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, 1371 + ... + 44887.

It is an arithmetic number, because the mean of its divisors is an integer number (127616535).

Almost surely, 21006504693 is an apocalyptic number.

It is an amenable number.

1006504693 is a deficient number, since it is larger than the sum of its proper divisors (14427587).

1006504693 is a wasteful number, since it uses less digits than its factorization.

1006504693 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43847.

The product of its (nonzero) digits is 19440, while the sum is 34.

The square root of 1006504693 is about 31725.4581211998. The cubic root of 1006504693 is about 1002.1635466899.

The spelling of 1006504693 in words is "one billion, six million, five hundred four thousand, six hundred ninety-three".

Divisors: 1 101 229 23129 43517 4395217 9965393 1006504693