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1664531280 = 243252311849
BaseRepresentation
bin110001100110110…
…1011101101010000
311022000002221122200
41203031223231100
511402110000110
6433100403200
756151165606
oct14315535520
94260087580
101664531280
11784647a95
123a5546500
13206b0b369
1411b0d1876
159b1e96c0
hex6336bb50

1664531280 has 60 divisors (see below), whose sum is σ = 5590053300. Its totient is φ = 443874816.

The previous prime is 1664531279. The next prime is 1664531293. The reversal of 1664531280 is 821354661.

It is a happy number.

1664531280 is a `hidden beast` number, since 1 + 6 + 645 + 3 + 1 + 2 + 8 + 0 = 666.

1664531280 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 459330624 + 1205200656 = 21432^2 + 34716^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1155205 + ... + 1156644.

It is an arithmetic number, because the mean of its divisors is an integer number (93167555).

Almost surely, 21664531280 is an apocalyptic number.

1664531280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1664531280 is an abundant number, since it is smaller than the sum of its proper divisors (3925522020).

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

1664531280 is a wasteful number, since it uses less digits than its factorization.

1664531280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2311868 (or 2311859 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1664531280 is about 40798.6676253036. The cubic root of 1664531280 is about 1185.1245289202.

The spelling of 1664531280 in words is "one billion, six hundred sixty-four million, five hundred thirty-one thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 2311849 4623698 6935547 9247396 11559245 13871094 18494792 20806641 23118490 27742188 34677735 36989584 41613282 46236980 55484376 69355470 83226564 92473960 104033205 110968752 138710940 166453128 184947920 208066410 277421880 332906256 416132820 554843760 832265640 1664531280