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1000000020 = 2235197391187
BaseRepresentation
bin111011100110101…
…100101000010100
32120200200021010210
4323212230220110
54022000000040
6243121245420
733531600645
oct7346545024
92520607123
101000000020
114735238a8
1223aa93870
1312c23a1b6
1496b4b6cc
155cbd1480
hex3b9aca14

1000000020 has 96 divisors (see below), whose sum is σ = 2953843200. Its totient is φ = 252077184.

The previous prime is 1000000009. The next prime is 1000000021. The reversal of 1000000020 is 200000001.

1000000020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (3).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 999999951 and 1000000014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000000021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 841867 + ... + 843053.

It is an arithmetic number, because the mean of its divisors is an integer number (30769200).

Almost surely, 21000000020 is an apocalyptic number.

1000000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1476921600).

1000000020 is an abundant number, since it is smaller than the sum of its proper divisors (1953843180).

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

1000000020 is a wasteful number, since it uses less digits than its factorization.

1000000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1957 (or 1955 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 3.

The square root of 1000000020 is about 31622.7769179116. The cubic root of 1000000020 is about 1000.0000066667. Note that the first 5 decimals are identical.

Adding to 1000000020 its reverse (200000001), we get a palindrome (1200000021).

The spelling of 1000000020 in words is "one billion, twenty", and thus it is an aban number and an uban number.

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 739 1140 1187 1478 2217 2374 2956 3561 3695 4434 4748 5935 7122 7390 8868 11085 11870 14041 14244 14780 17805 22170 22553 23740 28082 35610 42123 44340 45106 56164 67659 70205 71220 84246 90212 112765 135318 140410 168492 210615 225530 270636 280820 338295 421230 451060 676590 842460 877193 1353180 1754386 2631579 3508772 4385965 5263158 8771930 10526316 13157895 16666667 17543860 26315790 33333334 50000001 52631580 66666668 83333335 100000002 166666670 200000004 250000005 333333340 500000010 1000000020