Search a number
-
+
2868478620 = 2235724720759
BaseRepresentation
bin1010101011111001…
…1000001010011100
321101220112210220220
42222332120022130
521333312303440
61152345241340
7131040444300
oct25276301234
97356483826
102868478620
1112421aa497
12680793250
13369385437
141d2d6bd00
1511bc648d0
hexaaf9829c

2868478620 has 144 divisors (see below), whose sum is σ = 9542292480. Its totient is φ = 641671296.

The previous prime is 2868478619. The next prime is 2868478651. The reversal of 2868478620 is 268748682.

2868478620 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

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, 127801 + ... + 148559.

It is an arithmetic number, because the mean of its divisors is an integer number (66265920).

Almost surely, 22868478620 is an apocalyptic number.

2868478620 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 2868478620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4771146240).

2868478620 is an abundant number, since it is smaller than the sum of its proper divisors (6673813860).

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

2868478620 is a wasteful number, since it uses less digits than its factorization.

2868478620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20832 (or 20823 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 51.

The square root of 2868478620 is about 53558.1797674267. The cubic root of 2868478620 is about 1420.8575491975.

The spelling of 2868478620 in words is "two billion, eight hundred sixty-eight million, four hundred seventy-eight thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 47 49 60 70 84 94 98 105 140 141 147 188 196 210 235 245 282 294 329 420 470 490 564 588 658 705 735 940 980 987 1316 1410 1470 1645 1974 2303 2820 2940 3290 3948 4606 4935 6580 6909 9212 9870 11515 13818 19740 20759 23030 27636 34545 41518 46060 62277 69090 83036 103795 124554 138180 145313 207590 249108 290626 311385 415180 435939 581252 622770 726565 871878 975673 1017191 1245540 1453130 1743756 1951346 2034382 2179695 2906260 2927019 3051573 3902692 4068764 4359390 4878365 5085955 5854038 6103146 6829711 8718780 9756730 10171910 11708076 12206292 13659422 14635095 15257865 19513460 20343820 20489133 27318844 29270190 30515730 34148555 40978266 47807977 58540380 61031460 68297110 81956532 95615954 102445665 136594220 143423931 191231908 204891330 239039885 286847862 409782660 478079770 573695724 717119655 956159540 1434239310 2868478620