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1000380147 = 31317323227
BaseRepresentation
bin111011101000001…
…001011011110011
32120201101120120120
4323220021123303
54022044131042
6243133341323
733535043124
oct7350113363
92521346516
101000380147
11473763458
1223b037843
1312c341220
1496c0a04b
155cc58dec
hex3ba096f3

1000380147 has 64 divisors (see below), whose sum is σ = 1599575040. Its totient is φ = 551772672.

The previous prime is 1000380133. The next prime is 1000380151. The reversal of 1000380147 is 7410830001.

It is not a de Polignac number, because 1000380147 - 26 = 1000380083 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1000380127) 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 63 ways as a sum of consecutive naturals, for example, 4406848 + ... + 4407074.

It is an arithmetic number, because the mean of its divisors is an integer number (24993360).

Almost surely, 21000380147 is an apocalyptic number.

1000380147 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

1000380147 is a deficient number, since it is larger than the sum of its proper divisors (599194893).

1000380147 is a wasteful number, since it uses less digits than its factorization.

1000380147 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 1000380147 is about 31628.7866823879. The cubic root of 1000380147 is about 1000.1266996132.

The spelling of 1000380147 in words is "one billion, three hundred eighty thousand, one hundred forty-seven".

Divisors: 1 3 13 17 23 39 51 69 221 227 289 299 391 663 681 867 897 1173 2951 3757 3859 4913 5083 5221 6647 8853 11271 11577 14739 15249 15663 19941 50167 63869 65603 67873 86411 88757 112999 150501 191607 196809 203619 259233 266271 338997 852839 1115251 1153841 1468987 1508869 2558517 3345753 3461523 4406961 4526607 14498263 19615297 25650773 43494789 58845891 76952319 333460049 1000380147