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8020207640 = 23517231932657
BaseRepresentation
bin1110111100000101…
…01010100000011000
3202200221102202120102
413132002222200120
5112411133121030
63403500514532
7402514432364
oct73602524030
922627382512
108020207640
11344621a785
121679b4ba48
139aa799bc3
145612482a4
1531e18cc45
hex1de0aa818

8020207640 has 128 divisors (see below), whose sum is σ = 20048549760. Its totient is φ = 2872049664.

The previous prime is 8020207631. The next prime is 8020207673. The reversal of 8020207640 is 467020208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3017192 + ... + 3019848.

It is an arithmetic number, because the mean of its divisors is an integer number (156629295).

Almost surely, 28020207640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8020207640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10024274880).

8020207640 is an abundant number, since it is smaller than the sum of its proper divisors (12028342120).

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

8020207640 is a wasteful number, since it uses less digits than its factorization.

8020207640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2901 (or 2897 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 8020207640 is about 89555.6119961223. The cubic root of 8020207640 is about 2001.6825541089.

Adding to 8020207640 its reverse (467020208), we get a palindrome (8487227848).

The spelling of 8020207640 in words is "eight billion, twenty million, two hundred seven thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 17 20 23 34 40 46 68 85 92 115 136 170 184 193 230 340 386 391 460 680 772 782 920 965 1544 1564 1930 1955 2657 3128 3281 3860 3910 4439 5314 6562 7720 7820 8878 10628 13124 13285 15640 16405 17756 21256 22195 26248 26570 32810 35512 44390 45169 53140 61111 65620 75463 88780 90338 106280 122222 131240 150926 177560 180676 225845 244444 301852 305555 361352 377315 451690 488888 512801 603704 611110 754630 903380 1025602 1038887 1222220 1509260 1806760 2051204 2077774 2444440 2564005 3018520 4102408 4155548 5128010 5194435 8311096 8717617 10256020 10388870 11794423 17435234 20512040 20777740 23588846 34870468 41555480 43588085 47177692 58972115 69740936 87176170 94355384 117944230 174352340 200505191 235888460 348704680 401010382 471776920 802020764 1002525955 1604041528 2005051910 4010103820 8020207640