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664056270 = 2325193112527
BaseRepresentation
bin100111100101001…
…011000111001110
31201021112112221200
4213211023013032
52324444300040
6145521010330
722312246053
oct4745130716
91637475850
10664056270
1131092a339
121664839a6
13a7765c07
146429d02a
153d472630
hex2794b1ce

664056270 has 96 divisors (see below), whose sum is σ = 1876193280. Its totient is φ = 162336960.

The previous prime is 664056259. The next prime is 664056293. The reversal of 664056270 is 72650466.

664056270 is a `hidden beast` number, since 6 + 640 + 5 + 6 + 2 + 7 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46747 + ... + 59273.

It is an arithmetic number, because the mean of its divisors is an integer number (19543680).

Almost surely, 2664056270 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 664056270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (938096640).

664056270 is an abundant number, since it is smaller than the sum of its proper divisors (1212137010).

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

664056270 is a wasteful number, since it uses less digits than its factorization.

664056270 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12590 (or 12587 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 664056270 is about 25769.2892800713. The cubic root of 664056270 is about 872.4387775423.

The spelling of 664056270 in words is "six hundred sixty-four million, fifty-six thousand, two hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 31 38 45 57 62 90 93 95 114 155 171 186 190 279 285 310 342 465 558 570 589 855 930 1178 1395 1710 1767 2790 2945 3534 5301 5890 8835 10602 12527 17670 25054 26505 37581 53010 62635 75162 112743 125270 187905 225486 238013 375810 388337 476026 563715 714039 776674 1127430 1165011 1190065 1428078 1941685 2142117 2330022 2380130 3495033 3570195 3883370 4284234 5825055 6990066 7140390 7378403 10710585 11650110 14756806 17475165 21421170 22135209 34950330 36892015 44270418 66405627 73784030 110676045 132811254 221352090 332028135 664056270