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1059514064 = 24721351421
BaseRepresentation
bin111111001001101…
…110011011010000
32201211122220001122
4333021232123100
54132213422224
6253045021412
735153502200
oct7711563320
92654586048
101059514064
114a4082664
122569b4868
1313b676bcb
14a0a00400
156303a15e
hex3f26e6d0

1059514064 has 30 divisors (see below), whose sum is σ = 2387962674. Its totient is φ = 454077120.

The previous prime is 1059514031. The next prime is 1059514121. The reversal of 1059514064 is 4604159501.

It can be written as a sum of positive squares in only one way, i.e., 831745600 + 227768464 = 28840^2 + 15092^2 .

It is a super-2 number, since 2×10595140642 = 2245140103627592192, 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 (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 674927 + ... + 676494.

Almost surely, 21059514064 is an apocalyptic number.

1059514064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1059514064 is an abundant number, since it is smaller than the sum of its proper divisors (1328448610).

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

1059514064 is a wasteful number, since it uses less digits than its factorization.

1059514064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1351443 (or 1351430 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 35.

The square root of 1059514064 is about 32550.1776339239. The cubic root of 1059514064 is about 1019.4569915077.

The spelling of 1059514064 in words is "one billion, fifty-nine million, five hundred fourteen thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 1351421 2702842 5405684 9459947 10811368 18919894 21622736 37839788 66219629 75679576 132439258 151359152 264878516 529757032 1059514064