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1005604013 = 1983637669
BaseRepresentation
bin111011111100000…
…100110010101101
32121002012222101002
4323330010302231
54024413312023
6243441330045
733630331061
oct7374046255
92532188332
101005604013
114767011a7
12240936925
1313044cb7b
14977a9aa1
155d43bb28
hex3bf04cad

1005604013 has 8 divisors (see below), whose sum is σ = 1071285600. Its totient is φ = 941197968.

The previous prime is 1005603967. The next prime is 1005604031. The reversal of 1005604013 is 3104065001.

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 1005604013 - 228 = 737168557 is a prime.

It is a super-2 number, since 2×10056040132 = 2022478861923408338, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005604073) 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, 317258 + ... + 320411.

It is an arithmetic number, because the mean of its divisors is an integer number (133910700).

Almost surely, 21005604013 is an apocalyptic number.

It is an amenable number.

1005604013 is a deficient number, since it is larger than the sum of its proper divisors (65681587).

1005604013 is an equidigital number, since it uses as much as digits as its factorization.

1005604013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637771.

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 1005604013 is about 31711.2600348835. The cubic root of 1005604013 is about 1001.8645257165.

Adding to 1005604013 its reverse (3104065001), we get a palindrome (4109669014).

The spelling of 1005604013 in words is "one billion, five million, six hundred four thousand, thirteen".

Divisors: 1 19 83 1577 637669 12115711 52926527 1005604013