Search a number
-
+
1000806912 = 29327192371
BaseRepresentation
bin111011101001110…
…001101000000000
32120202012020222200
4323221301220000
54022201310122
6243150433200
733541501260
oct7351615000
92522166880
101000806912
11473a25056
1223b202800
1312c460551
1496cbb7a0
155cce05ac
hex3ba71a00

1000806912 has 480 divisors, whose sum is σ = 3676907520. Its totient is φ = 255467520.

The previous prime is 1000806901. The next prime is 1000806929. The reversal of 1000806912 is 2196080001.

It is a super-2 number, since 2×10008069122 = 2003228950213951488, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 14095837 + ... + 14095907.

It is an arithmetic number, because the mean of its divisors is an integer number (7660224).

Almost surely, 21000806912 is an apocalyptic number.

1000806912 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 1000806912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1838453760).

1000806912 is an abundant number, since it is smaller than the sum of its proper divisors (2676100608).

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

1000806912 is a wasteful number, since it uses less digits than its factorization.

1000806912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 1000806912 is about 31635.5324279520. The cubic root of 1000806912 is about 1000.2688983539.

Adding to 1000806912 its reverse (2196080001), we get a palindrome (3196886913).

The spelling of 1000806912 in words is "one billion, eight hundred six thousand, nine hundred twelve".