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1069040000 = 275472383
BaseRepresentation
bin111111101110000…
…100000110000000
32202111120212012002
4333232010012000
54142133240000
6254025123132
735330455460
oct7756040600
92674525162
101069040000
114a9499636
1225a0294a8
13140630a62
14a1d9dba0
1563cbc8d5
hex3fb84180

1069040000 has 320 divisors, whose sum is σ = 3211971840. Its totient is φ = 346368000.

The previous prime is 1069039999. The next prime is 1069040039. The reversal of 1069040000 is 409601.

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

It is a super-2 number, since 2×10690400002 = 2285693043200000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 12879959 + ... + 12880041.

It is an arithmetic number, because the mean of its divisors is an integer number (10037412).

Almost surely, 21069040000 is an apocalyptic number.

1069040000 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 1069040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1605985920).

1069040000 is an abundant number, since it is smaller than the sum of its proper divisors (2142931840).

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

1069040000 is an frugal number, since it uses more digits than its factorization.

1069040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 1069040000 is about 32696.1771465717. The cubic root of 1069040000 is about 1022.5031434037.

Adding to 1069040000 its reverse (409601), we get a palindrome (1069449601).

The spelling of 1069040000 in words is "one billion, sixty-nine million, forty thousand".