Search a number
-
+
6215746420 = 22513971931277
BaseRepresentation
bin1011100100111110…
…01100001101110100
3121001012000122010101
411302133030031310
5100212212341140
62504441003444
7310013654452
oct56237141564
917035018111
106215746420
1126aa699314
121255783584
137809a7380
1442d72d9d2
15265a5299a
hex1727cc374

6215746420 has 96 divisors (see below), whose sum is σ = 14286833568. Its totient is φ = 2257846272.

The previous prime is 6215746409. The next prime is 6215746421. The reversal of 6215746420 is 246475126.

It can be written as a sum of positive squares in 16 ways, for example, as 2826410896 + 3389335524 = 53164^2 + 58218^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 6215746420.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6215746421) 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, 4866822 + ... + 4868098.

It is an arithmetic number, because the mean of its divisors is an integer number (148821183).

Almost surely, 26215746420 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 6215746420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7143416784).

6215746420 is an abundant number, since it is smaller than the sum of its proper divisors (8071087148).

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

6215746420 is a wasteful number, since it uses less digits than its factorization.

6215746420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1589 (or 1587 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 37.

The square root of 6215746420 is about 78840.0052004057. The cubic root of 6215746420 is about 1838.6444825033.

The spelling of 6215746420 in words is "six billion, two hundred fifteen million, seven hundred forty-six thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 97 130 193 194 260 386 388 485 772 965 970 1261 1277 1930 1940 2509 2522 2554 3860 5018 5044 5108 6305 6385 10036 12545 12610 12770 16601 18721 25090 25220 25540 33202 37442 50180 66404 74884 83005 93605 123869 166010 187210 243373 246461 247738 332020 374420 486746 492922 495476 619345 973492 985844 1216865 1232305 1238690 1610297 2433730 2464610 2477380 3203993 3220594 4867460 4929220 6407986 6441188 8051485 12815972 16019965 16102970 23906717 32039930 32205940 47813434 64079860 95626868 119533585 239067170 310787321 478134340 621574642 1243149284 1553936605 3107873210 6215746420