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1000130004 = 223459113463
BaseRepresentation
bin111011100111001…
…100010111010100
32120200220212110000
4323213030113110
54022013130004
6243124131300
733532651626
oct7347142724
92520825400
101000130004
11473602525
1223ab36b30
1312c284403
1496b82c16
155cc09c39
hex3b9cc5d4

1000130004 has 120 divisors (see below), whose sum is σ = 2688174720. Its totient is φ = 324124416.

The previous prime is 1000129987. The next prime is 1000130011. The reversal of 1000130004 is 4000310001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 2159877 + ... + 2160339.

It is an arithmetic number, because the mean of its divisors is an integer number (22401456).

Almost surely, 21000130004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000130004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1344087360).

1000130004 is an abundant number, since it is smaller than the sum of its proper divisors (1688044716).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1000130004 is a wasteful number, since it uses less digits than its factorization.

1000130004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 1000130004 is about 31624.8320786056. The cubic root of 1000130004 is about 1000.0433327889.

Adding to 1000130004 its reverse (4000310001), we get a palindrome (5000440005).

The spelling of 1000130004 in words is "one billion, one hundred thirty thousand, four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 59 81 108 113 118 162 177 226 236 324 339 354 452 463 531 678 708 926 1017 1062 1356 1389 1593 1852 2034 2124 2778 3051 3186 4068 4167 4779 5556 6102 6372 6667 8334 9153 9558 12204 12501 13334 16668 18306 19116 20001 25002 26668 27317 36612 37503 40002 50004 52319 54634 60003 75006 80004 81951 104638 109268 120006 150012 156957 163902 180009 209276 240012 245853 313914 327804 360018 470871 491706 540027 627828 720036 737559 941742 983412 1080054 1412613 1475118 1883484 2160108 2212677 2825226 2950236 3086821 4237839 4425354 5650452 6173642 8475678 8850708 9260463 12347284 16951356 18520926 27781389 37041852 55562778 83344167 111125556 166688334 250032501 333376668 500065002 1000130004