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1664014240 = 25579531559
BaseRepresentation
bin110001100101110…
…1101011110100000
311021222010200102001
41203023231132200
511401441423430
6433041333344
756143613320
oct14313553640
94258120361
101664014240
11784324589
123a5337254
13206989c15
1411add9280
159b1463ca
hex632ed7a0

1664014240 has 96 divisors (see below), whose sum is σ = 4500437760. Its totient is φ = 569554944.

The previous prime is 1664014223. The next prime is 1664014241. The reversal of 1664014240 is 424104661.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 1664014199 and 1664014208.

It is not an unprimeable number, because it can be changed into a prime (1664014241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1066581 + ... + 1068139.

It is an arithmetic number, because the mean of its divisors is an integer number (46879560).

Almost surely, 21664014240 is an apocalyptic number.

1664014240 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 1664014240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2250218880).

1664014240 is an abundant number, since it is smaller than the sum of its proper divisors (2836423520).

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

1664014240 is a wasteful number, since it uses less digits than its factorization.

1664014240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2534 (or 2526 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 1664014240 is about 40792.3306517291. The cubic root of 1664014240 is about 1185.0018076373.

The spelling of 1664014240 in words is "one billion, six hundred sixty-four million, fourteen thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 953 1120 1559 1906 3118 3812 4765 6236 6671 7624 7795 9530 10913 12472 13342 15248 15590 19060 21826 24944 26684 30496 31180 33355 38120 43652 49888 53368 54565 62360 66710 76240 87304 106736 109130 124720 133420 152480 174608 213472 218260 249440 266840 349216 436520 533680 873040 1067360 1485727 1746080 2971454 5942908 7428635 10400089 11885816 14857270 20800178 23771632 29714540 41600356 47543264 52000445 59429080 83200712 104000890 118858160 166401424 208001780 237716320 332802848 416003560 832007120 1664014240