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1064040224 = 251321511303
BaseRepresentation
bin111111011010111…
…111011100100000
32202011011211210012
4333122333130200
54134343241344
6253330024052
735240123042
oct7732773440
92664154705
101064040224
114a6694195
12258418028
1313c5a0100
14a145ba92
156363129e
hex3f6bf720

1064040224 has 72 divisors (see below), whose sum is σ = 2285140032. Its totient is φ = 487468800.

The previous prime is 1064040221. The next prime is 1064040227. The reversal of 1064040224 is 4220404601.

It is an interprime number because it is at equal distance from previous prime (1064040221) and next prime (1064040227).

It is a super-2 number, since 2×10640402242 = 2264363196579940352, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1064040224.

It is not an unprimeable number, because it can be changed into a prime (1064040221) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 815957 + ... + 817259.

It is an arithmetic number, because the mean of its divisors is an integer number (31738056).

Almost surely, 21064040224 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 1064040224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1142570016).

1064040224 is an abundant number, since it is smaller than the sum of its proper divisors (1221099808).

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

1064040224 is a wasteful number, since it uses less digits than its factorization.

1064040224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1490 (or 1469 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 1064040224 is about 32619.6294276928. The cubic root of 1064040224 is about 1020.9066090345.

Adding to 1064040224 its reverse (4220404601), we get a palindrome (5284444825).

The spelling of 1064040224 in words is "one billion, sixty-four million, forty thousand, two hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 104 151 169 208 302 338 416 604 676 1208 1303 1352 1963 2416 2606 2704 3926 4832 5212 5408 7852 10424 15704 16939 20848 25519 31408 33878 41696 51038 62816 67756 102076 135512 196753 204152 220207 271024 393506 408304 440414 542048 787012 816608 880828 1574024 1761656 2557789 3148048 3523312 5115578 6296096 7046624 10231156 20462312 33251257 40924624 66502514 81849248 133005028 266010056 532020112 1064040224