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1064024016 = 2431117219367
BaseRepresentation
bin111111011010111…
…011011111010000
32202011011000112220
4333122323133100
54134342232031
6253325421040
735240024556
oct7732733720
92664130486
101064024016
114a6682aa0
1225840a780
1313c595913
14a1455bd6
156362b596
hex3f6bb7d0

1064024016 has 240 divisors, whose sum is σ = 3362165760. Its totient is φ = 286709760.

The previous prime is 1064024009. The next prime is 1064024021. The reversal of 1064024016 is 6104204601.

It is a super-2 number, since 2×10640240162 = 2264294213249536512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2899065 + ... + 2899431.

It is an arithmetic number, because the mean of its divisors is an integer number (14009024).

Almost surely, 21064024016 is an apocalyptic number.

1064024016 is a gapful number since it is divisible by the number (16) 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 1064024016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1681082880).

1064024016 is an abundant number, since it is smaller than the sum of its proper divisors (2298141744).

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

1064024016 is a wasteful number, since it uses less digits than its factorization.

1064024016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 1064024016 is about 32619.3809873823. The cubic root of 1064024016 is about 1020.9014253526.

Adding to 1064024016 its reverse (6104204601), we get a palindrome (7168228617).

The spelling of 1064024016 in words is "one billion, sixty-four million, twenty-four thousand, sixteen".