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1270080000 = 29345472
BaseRepresentation
bin100101110110011…
…1110001000000000
310021111212202020000
41023230332020000
510100120030000
6330010120000
743321334100
oct11354761000
93244782200
101270080000
115a1a219a2
122b5420000
13173190537
14c0973200
1576780000
hex4bb3e200

1270080000 has 750 divisors, whose sum is σ = 5510447811. Its totient is φ = 290304000.

The previous prime is 1270079983. The next prime is 1270080037. The reversal of 1270080000 is 800721.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 293642496 + 976437504 = 17136^2 + 31248^2 .

It is a tau number, because it is divible by the number of its divisors (750).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=25200.

It is a super-2 number, since 2×12700800002 = 3226206412800000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 181439997 + ... + 181440003.

Almost surely, 21270080000 is an apocalyptic number.

1270080000 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 1270080000

1270080000 is an abundant number, since it is smaller than the sum of its proper divisors (4240367811).

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

1270080000 is an frugal number, since it uses more digits than its factorization.

1270080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 1270080000 is about 35638.1817718020. The cubic root of 1270080000 is about 1082.9548710870.

Multiplying 1270080000 by its sum of digits (18), we get a square (22861440000 = 1512002).

1270080000 divided by its sum of digits (18) gives a square (70560000 = 84002).

Adding to 1270080000 its reverse (800721), we get a palindrome (1270880721).

The spelling of 1270080000 in words is "one billion, two hundred seventy million, eighty thousand".