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1000002030 = 235311517121
BaseRepresentation
bin111011100110101…
…101000111101110
32120200200100220020
4323212231013232
54022000031110
6243121303010
733531606546
oct7346550756
92520610806
101000002030
11473525365
1223aa94a66
1312c23b0a1
1496b4c326
155cbd1d70
hex3b9ad1ee

1000002030 has 64 divisors (see below), whose sum is σ = 2494181376. Its totient is φ = 256320000.

The previous prime is 1000001969. The next prime is 1000002043. The reversal of 1000002030 is 302000001.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 136870 + ... + 143990.

It is an arithmetic number, because the mean of its divisors is an integer number (38971584).

Almost surely, 21000002030 is an apocalyptic number.

1000002030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000002030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1247090688).

1000002030 is an abundant number, since it is smaller than the sum of its proper divisors (1494179346).

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

1000002030 is a wasteful number, since it uses less digits than its factorization.

1000002030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7313.

The product of its (nonzero) digits is 6, while the sum is 6.

The square root of 1000002030 is about 31622.8086987858. The cubic root of 1000002030 is about 1000.0006766662. Note that the first 3 decimals are identical.

Adding to 1000002030 its reverse (302000001), we get a palindrome (1302002031).

The spelling of 1000002030 in words is "one billion, two thousand, thirty".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 151 155 186 302 310 453 465 755 906 930 1510 2265 4530 4681 7121 9362 14043 14242 21363 23405 28086 35605 42726 46810 70215 71210 106815 140430 213630 220751 441502 662253 1075271 1103755 1324506 2150542 2207510 3225813 3311265 5376355 6451626 6622530 10752710 16129065 32258130 33333401 66666802 100000203 166667005 200000406 333334010 500001015 1000002030