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1664255360 = 2753497451
BaseRepresentation
bin110001100110010…
…1000010110000000
311021222120221011102
41203030220112000
511402022132420
6433050433532
756145636305
oct14314502600
94258527142
101664255360
11784479759
123a54328a8
13206a428b1
1411b05d0ac
159b192a75
hex63328580

1664255360 has 64 divisors (see below), whose sum is σ = 3990546000. Its totient is φ = 663705600.

The previous prime is 1664255311. The next prime is 1664255401. The reversal of 1664255360 is 635524661.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 219635 + ... + 227085.

Almost surely, 21664255360 is an apocalyptic number.

1664255360 is a gapful number since it is divisible by the number (10) 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 1664255360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1995273000).

1664255360 is an abundant number, since it is smaller than the sum of its proper divisors (2326290640).

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

1664255360 is an equidigital number, since it uses as much as digits as its factorization.

1664255360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7819 (or 7807 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 38.

The square root of 1664255360 is about 40795.2860021841. The cubic root of 1664255360 is about 1185.0590414897.

The spelling of 1664255360 in words is "one billion, six hundred sixty-four million, two hundred fifty-five thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 349 640 698 1396 1745 2792 3490 5584 6980 7451 11168 13960 14902 22336 27920 29804 37255 44672 55840 59608 74510 111680 119216 149020 223360 238432 298040 476864 596080 953728 1192160 2384320 2600399 4768640 5200798 10401596 13001995 20803192 26003990 41606384 52007980 83212768 104015960 166425536 208031920 332851072 416063840 832127680 1664255360