Search a number
-
+
1000944912 = 2431122359127
BaseRepresentation
bin111011101010010…
…011010100010000
32120202110021021210
4323222103110100
54022220214122
6243153420120
733542614512
oct7352232420
92522407253
101000944912
11474009800
1223b26a640
1312c4ab2c6
1496d15bb2
155cd1b40c
hex3ba93510

1000944912 has 240 divisors, whose sum is σ = 3039805440. Its totient is φ = 282965760.

The previous prime is 1000944911. The next prime is 1000944941. The reversal of 1000944912 is 2194490001.

It is a self number, because there is not a number n which added to its sum of digits gives 1000944912.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000944911) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7881393 + ... + 7881519.

It is an arithmetic number, because the mean of its divisors is an integer number (12665856).

Almost surely, 21000944912 is an apocalyptic number.

1000944912 is a gapful number since it is divisible by the number (12) 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 1000944912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1519902720).

1000944912 is an abundant number, since it is smaller than the sum of its proper divisors (2038860528).

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

1000944912 is a wasteful number, since it uses less digits than its factorization.

1000944912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 1000944912 is about 31637.7134445585. The cubic root of 1000944912 is about 1000.3148715122.

The spelling of 1000944912 in words is "one billion, nine hundred forty-four thousand, nine hundred twelve".