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1000080000 = 273354463
BaseRepresentation
bin111011100111000…
…000001010000000
32120200211022212000
4323213000022000
54022010030000
6243123104000
733532353063
oct7347001200
92520738760
101000080000
114735789a7
1223ab12000
1312c26771a
1496b6c8da
155cbea000
hex3b9c0280

1000080000 has 320 divisors, whose sum is σ = 3696316800. Its totient is φ = 266112000.

The previous prime is 1000079999. The next prime is 1000080007. The reversal of 1000080000 is 800001.

It is a tau number, because it is divible by the number of its divisors (320).

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

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

It is not an unprimeable number, because it can be changed into a prime (1000080007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2159769 + ... + 2160231.

It is an arithmetic number, because the mean of its divisors is an integer number (11550990).

Almost surely, 21000080000 is an apocalyptic number.

1000080000 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 1000080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1848158400).

1000080000 is an abundant number, since it is smaller than the sum of its proper divisors (2696236800).

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

1000080000 is an frugal number, since it uses more digits than its factorization.

1000080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1000080000 is about 31624.0414874507. The cubic root of 1000080000 is about 1000.0266659556.

Adding to 1000080000 its reverse (800001), we get a palindrome (1000880001).

It can be divided in two parts, 10000 and 80000, that added together give a square (90000 = 3002).

The spelling of 1000080000 in words is "one billion, eighty thousand".