Search a number
-
+
1005410345 = 51711828357
BaseRepresentation
bin111011111011010…
…101100000101001
32121001212010201012
4323323111200221
54024341112340
6243433233305
733625563332
oct7373254051
92531763635
101005410345
11476589745
12240862835
131303b2984
1497759289
155d3ee565
hex3bed5829

1005410345 has 8 divisors (see below), whose sum is σ = 1277462664. Its totient is φ = 757014784.

The previous prime is 1005410317. The next prime is 1005410347. The reversal of 1005410345 is 5430145001.

It can be written as a sum of positive squares in 4 ways, for example, as 411805849 + 593604496 = 20293^2 + 24364^2 .

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 1005410345 - 26 = 1005410281 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1005410345.

It is not an unprimeable number, because it can be changed into a prime (1005410347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5914094 + ... + 5914263.

It is an arithmetic number, because the mean of its divisors is an integer number (159682833).

Almost surely, 21005410345 is an apocalyptic number.

It is an amenable number.

1005410345 is a deficient number, since it is larger than the sum of its proper divisors (272052319).

1005410345 is a wasteful number, since it uses less digits than its factorization.

1005410345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11828379.

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 1005410345 is about 31708.2062721940. The cubic root of 1005410345 is about 1001.8002056483.

Adding to 1005410345 its reverse (5430145001), we get a palindrome (6435555346).

The spelling of 1005410345 in words is "one billion, five million, four hundred ten thousand, three hundred forty-five".

Divisors: 1 5 17 85 11828357 59141785 201082069 1005410345