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20027000680 = 23523315771217
BaseRepresentation
bin10010101001101100…
…111100011101101000
31220200201100001012221
4102221230330131220
5312003403010210
613111132043424
71306200461041
oct225154743550
956621301187
1020027000680
1185477a1035
123a6b003574
131b7216c67b
14d7db138c8
157c33011da
hex4a9b3c768

20027000680 has 128 divisors (see below), whose sum is σ = 48660756480. Its totient is φ = 7396392960.

The previous prime is 20027000663. The next prime is 20027000681. The reversal of 20027000680 is 8600072002.

It is a super-3 number, since 3×200270006803 (a number of 32 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (20027000681) 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, 16455432 + ... + 16456648.

It is an arithmetic number, because the mean of its divisors is an integer number (380162160).

Almost surely, 220027000680 is an apocalyptic number.

20027000680 is a gapful number since it is divisible by the number (20) 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 20027000680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24330378240).

20027000680 is an abundant number, since it is smaller than the sum of its proper divisors (28633755800).

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

20027000680 is a wasteful number, since it uses less digits than its factorization.

20027000680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1859 (or 1855 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

Adding to 20027000680 its reverse (8600072002), we get a palindrome (28627072682).

The spelling of 20027000680 in words is "twenty billion, twenty-seven million, six hundred eighty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 23 31 40 46 62 92 115 124 155 184 230 248 310 460 577 620 713 920 1154 1217 1240 1426 2308 2434 2852 2885 3565 4616 4868 5704 5770 6085 7130 9736 11540 12170 13271 14260 17887 23080 24340 26542 27991 28520 35774 37727 48680 53084 55982 66355 71548 75454 89435 106168 111964 132710 139955 143096 150908 178870 188635 223928 265420 279910 301816 357740 377270 411401 530840 559820 702209 715480 754540 822802 867721 1119640 1404418 1509080 1645604 1735442 2057005 2808836 3291208 3470884 3511045 4114010 4338605 5617672 6941768 7022090 8228020 8677210 14044180 16150807 16456040 17354420 21768479 28088360 32301614 34708840 43536958 64603228 80754035 87073916 108842395 129206456 161508070 174147832 217684790 323016140 435369580 500675017 646032280 870739160 1001350034 2002700068 2503375085 4005400136 5006750170 10013500340 20027000680