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1000920000 = 2635419439
BaseRepresentation
bin111011101010001…
…101001111000000
32120202102000010010
4323222031033000
54022213420000
6243153104520
733542452053
oct7352151700
92522360103
101000920000
11473aa2013
1223b258140
1312c49cb72
1496d0aa9a
155cd13d50
hex3ba8d3c0

1000920000 has 280 divisors, whose sum is σ = 3491382400. Its totient is φ = 252288000.

The previous prime is 1000919989. The next prime is 1000920001. The reversal of 1000920000 is 290001.

It is a happy number.

1000920000 is digitally balanced in base 2 and base 6, because in such bases 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 (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000920001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2279781 + ... + 2280219.

Almost surely, 21000920000 is an apocalyptic number.

1000920000 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 1000920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1745691200).

1000920000 is an abundant number, since it is smaller than the sum of its proper divisors (2490462400).

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

1000920000 is an equidigital number, since it uses as much as digits as its factorization.

1000920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 1000920000 is about 31637.3197347689. The cubic root of 1000920000 is about 1000.3065726703.

The spelling of 1000920000 in words is "one billion, nine hundred twenty thousand".