Search a number
-
+
1005391397 = 53113167873
BaseRepresentation
bin111011111011010…
…000111000100101
32121001211011201102
4323323100320211
54024340011042
6243433005445
733625454153
oct7373207045
92531734642
101005391397
1147657648a
12240853885
131303a716a
14977523d3
155d3e8b32
hex3bed0e25

1005391397 has 8 divisors (see below), whose sum is σ = 1033432344. Its totient is φ = 977686528.

The previous prime is 1005391393. The next prime is 1005391427. The reversal of 1005391397 is 7931935001.

It can be written as a sum of positive squares in 4 ways, for example, as 1705636 + 1003685761 = 1306^2 + 31681^2 .

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 1005391397 - 22 = 1005391393 is a prime.

It is a super-2 number, since 2×10053913972 = 2021623722323223218, which contains 22 as substring.

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 1005391397.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005391393) 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, 77948 + ... + 89925.

It is an arithmetic number, because the mean of its divisors is an integer number (129179043).

Almost surely, 21005391397 is an apocalyptic number.

It is an amenable number.

1005391397 is a deficient number, since it is larger than the sum of its proper divisors (28040947).

1005391397 is a wasteful number, since it uses less digits than its factorization.

1005391397 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168039.

The product of its (nonzero) digits is 25515, while the sum is 38.

The square root of 1005391397 is about 31707.9074837808. The cubic root of 1005391397 is about 1001.7939122877.

The spelling of 1005391397 in words is "one billion, five million, three hundred ninety-one thousand, three hundred ninety-seven".

Divisors: 1 53 113 5989 167873 8897269 18969649 1005391397