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1000009980 = 223255555611
BaseRepresentation
bin111011100110101…
…111000011111100
32120200200202210200
4323212233003330
54022000304410
6243121403500
733531641664
oct7346570374
92520622720
101000009980
11473530332
1223aa99590
1312c2418a8
1496b511a4
155cbd43c0
hex3b9af0fc

1000009980 has 36 divisors (see below), whose sum is σ = 3033364152. Its totient is φ = 266669280.

The previous prime is 1000009961. The next prime is 1000009999. The reversal of 1000009980 is 899000001.

It is an interprime number because it is at equal distance from previous prime (1000009961) and next prime (1000009999).

It is a tau number, because it is divible by the number of its divisors (36).

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 11 ways as a sum of consecutive naturals, for example, 2777626 + ... + 2777985.

Almost surely, 21000009980 is an apocalyptic number.

1000009980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000009980 is an abundant number, since it is smaller than the sum of its proper divisors (2033354172).

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

1000009980 is a wasteful number, since it uses less digits than its factorization.

1000009980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5555626 (or 5555621 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 1000009980 is about 31622.9343989453. The cubic root of 1000009980 is about 1000.0033266556.

Adding to 1000009980 its reverse (899000001), we get a palindrome (1899009981).

The spelling of 1000009980 in words is "one billion, nine thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 5555611 11111222 16666833 22222444 27778055 33333666 50000499 55556110 66667332 83334165 100000998 111112220 166668330 200001996 250002495 333336660 500004990 1000009980