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1664375460 = 2235114315851
BaseRepresentation
bin110001100110100…
…0101101010100100
311021222211000220120
41203031011222210
511402040003320
6433053201540
756146646406
oct14315055244
94258730816
101664375460
11784550a10
123a54902b0
13206a85467
1411b090b76
159b1b8440
hex63345aa4

1664375460 has 96 divisors (see below), whose sum is σ = 5096577024. Its totient is φ = 402480000.

The previous prime is 1664375431. The next prime is 1664375467. The reversal of 1664375460 is 645734661.

It is not an unprimeable number, because it can be changed into a prime (1664375467) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 281535 + ... + 287385.

It is an arithmetic number, because the mean of its divisors is an integer number (53089344).

Almost surely, 21664375460 is an apocalyptic number.

1664375460 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 1664375460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2548288512).

1664375460 is an abundant number, since it is smaller than the sum of its proper divisors (3432201564).

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

1664375460 is a wasteful number, since it uses less digits than its factorization.

1664375460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6305 (or 6303 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The square root of 1664375460 is about 40796.7579594261. The cubic root of 1664375460 is about 1185.0875471647.

The spelling of 1664375460 in words is "one billion, six hundred sixty-four million, three hundred seventy-five thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 431 660 862 1293 1724 2155 2586 4310 4741 5172 5851 6465 8620 9482 11702 12930 14223 17553 18964 23404 23705 25860 28446 29255 35106 47410 56892 58510 64361 70212 71115 87765 94820 117020 128722 142230 175530 193083 257444 284460 321805 351060 386166 643610 772332 965415 1287220 1930830 2521781 3861660 5043562 7565343 10087124 12608905 15130686 25217810 27739591 30261372 37826715 50435620 55479182 75653430 83218773 110958364 138697955 151306860 166437546 277395910 332875092 416093865 554791820 832187730 1664375460