Search a number
-
+
1005006119 = 13174547539
BaseRepresentation
bin111011111001110…
…010110100100111
32121001002121012212
4323321302310213
54024240143434
6243420434035
733622260665
oct7371626447
92531077185
101005006119
11476332a77
122406a891b
131302a09a0
1497691c35
155d36e8ce
hex3be72d27

1005006119 has 8 divisors (see below), whose sum is σ = 1145980080. Its totient is φ = 873127296.

The previous prime is 1005006113. The next prime is 1005006127. The reversal of 1005006119 is 9116005001.

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 1005006119 - 24 = 1005006103 is a prime.

It is a super-2 number, since 2×10050061192 = 2020074598454884322, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1005006094 and 1005006103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005006113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2273549 + ... + 2273990.

It is an arithmetic number, because the mean of its divisors is an integer number (143247510).

Almost surely, 21005006119 is an apocalyptic number.

1005006119 is a deficient number, since it is larger than the sum of its proper divisors (140973961).

1005006119 is a wasteful number, since it uses less digits than its factorization.

1005006119 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4547569.

The product of its (nonzero) digits is 270, while the sum is 23.

The square root of 1005006119 is about 31701.8314770614. The cubic root of 1005006119 is about 1001.6659294712.

The spelling of 1005006119 in words is "one billion, five million, six thousand, one hundred nineteen".

Divisors: 1 13 17 221 4547539 59118007 77308163 1005006119