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640000020 = 2235111757041
BaseRepresentation
bin100110001001011…
…010000000010100
31122121021100222110
4212021122000110
52302320000040
6143301231020
721600624162
oct4611320024
91577240873
10640000020
112a9299540
1215a402470
13a279244a
1460dda232
153b2be980
hex2625a014

640000020 has 96 divisors (see below), whose sum is σ = 2069940096. Its totient is φ = 146022400.

The previous prime is 640000019. The next prime is 640000027. The reversal of 640000020 is 20000046.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 639999960 and 640000005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (640000027) 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, 17301 + ... + 39740.

It is an arithmetic number, because the mean of its divisors is an integer number (21561876).

Almost surely, 2640000020 is an apocalyptic number.

640000020 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

640000020 is an abundant number, since it is smaller than the sum of its proper divisors (1429940076).

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

640000020 is a wasteful number, since it uses less digits than its factorization.

640000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57081 (or 57079 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 640000020 is about 25298.2216766317. The cubic root of 640000020 is about 861.7738849896.

640000020 divided by its sum of digits (12) gives a palindrome (53333335).

Adding to 640000020 its reverse (20000046), we get a palindrome (660000066).

The spelling of 640000020 in words is "six hundred forty million, twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 11 12 15 17 20 22 30 33 34 44 51 55 60 66 68 85 102 110 132 165 170 187 204 220 255 330 340 374 510 561 660 748 935 1020 1122 1870 2244 2805 3740 5610 11220 57041 114082 171123 228164 285205 342246 570410 627451 684492 855615 969697 1140820 1254902 1711230 1882353 1939394 2509804 2909091 3137255 3422460 3764706 3878788 4848485 5818182 6274510 7529412 9411765 9696970 10666667 11636364 12549020 14545455 18823530 19393940 21333334 29090910 32000001 37647060 42666668 53333335 58181820 64000002 106666670 128000004 160000005 213333340 320000010 640000020