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1071332064 = 253211271433
BaseRepresentation
bin111111110110110…
…011101011100000
32202122220022022100
4333312303223200
54143230111224
6254150210400
735356113045
oct7766635340
92678808270
101071332064
114aa814700
1225a953a00
13140c540ca
14a23d91cc
15640c1ac9
hex3fdb3ae0

1071332064 has 216 divisors, whose sum is σ = 3403750896. Its totient is φ = 319334400.

The previous prime is 1071332039. The next prime is 1071332107. The reversal of 1071332064 is 4602331701.

It is a super-2 number, since 2×10713320642 = 2295504782709000192, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2473992 + ... + 2474424.

It is an arithmetic number, because the mean of its divisors is an integer number (15758106).

Almost surely, 21071332064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1071332064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1701875448).

1071332064 is an abundant number, since it is smaller than the sum of its proper divisors (2332418832).

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

1071332064 is a wasteful number, since it uses less digits than its factorization.

1071332064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 1071332064 is about 32731.2093268794. The cubic root of 1071332064 is about 1023.2333841440.

Adding to 1071332064 its reverse (4602331701), we get a palindrome (5673663765).

The spelling of 1071332064 in words is "one billion, seventy-one million, three hundred thirty-two thousand, sixty-four".