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1000000027 = 131759271283
BaseRepresentation
bin111011100110101…
…100101000011011
32120200200021011001
4323212230220123
54022000000102
6243121245431
733531600655
oct7346545033
92520607131
101000000027
11473523904
1223aa93877
1312c23a1c0
1496b4b6d5
155cbd1487
hex3b9aca1b

1000000027 has 32 divisors (see below), whose sum is σ = 1167989760. Its totient is φ = 847895040.

The previous prime is 1000000021. The next prime is 1000000033. The reversal of 1000000027 is 7200000001.

It is an interprime number because it is at equal distance from previous prime (1000000021) and next prime (1000000033).

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1000000027 is a prime.

1000000027 is a modest number, since divided by 27 gives 1 as remainder.

It is not an unprimeable number, because it can be changed into a prime (1000000021) 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 31 ways as a sum of consecutive naturals, for example, 3533428 + ... + 3533710.

It is an arithmetic number, because the mean of its divisors is an integer number (36499680).

Almost surely, 21000000027 is an apocalyptic number.

1000000027 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

1000000027 is a deficient number, since it is larger than the sum of its proper divisors (167989733).

1000000027 is a wasteful number, since it uses less digits than its factorization.

1000000027 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643.

The product of its (nonzero) digits is 14, while the sum is 10.

The square root of 1000000027 is about 31622.7770285913. Note that the first 3 decimals coincide. The cubic root of 1000000027 is about 1000.0000090000. Note that the first 5 decimals are identical.

Adding to 1000000027 its reverse (7200000001), we get a palindrome (8200000028).

The spelling of 1000000027 in words is "one billion, twenty-seven", and thus it is an aban number and an uban number.

Divisors: 1 13 17 59 221 271 283 767 1003 3523 3679 4607 4811 13039 15989 16697 59891 62543 76693 207857 217061 271813 283849 997009 1303781 3533569 3690037 4524887 16949153 58823531 76923079 1000000027