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6840000486 = 23211376831367
BaseRepresentation
bin1100101111011001…
…00001111111100110
3122122200200000201100
412113230201333212
5103002020003421
63050420540530
7331334021244
oct62754417746
918580600640
106840000486
1129a0002670
1213aa851746
13850115787
1448c5cb794
152a0761c26
hex197b21fe6

6840000486 has 96 divisors (see below), whose sum is σ = 16640702208. Its totient is φ = 2012281920.

The previous prime is 6840000469. The next prime is 6840000491.

6840000486 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 6840000486.

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, 5002975 + ... + 5004341.

It is an arithmetic number, because the mean of its divisors is an integer number (173340648).

Almost surely, 26840000486 is an apocalyptic number.

6840000486 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 6840000486, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8320351104).

6840000486 is an abundant number, since it is smaller than the sum of its proper divisors (9800701722).

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

6840000486 is a wasteful number, since it uses less digits than its factorization.

6840000486 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2106 (or 2103 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 6840000486 is about 82704.2954507201. The cubic root of 6840000486 is about 1898.2440365643.

It can be divided in two parts, 6840000 and 486, that added together give a palindrome (6840486).

The spelling of 6840000486 in words is "six billion, eight hundred forty million, four hundred eighty-six", and thus it is an aban number.

Divisors: 1 2 3 6 9 11 18 22 33 37 66 74 99 111 198 222 333 407 666 683 814 1221 1366 1367 2049 2442 2734 3663 4098 4101 6147 7326 7513 8202 12294 12303 15026 15037 22539 24606 25271 30074 45078 45111 50542 50579 67617 75813 90222 101158 135234 135333 151626 151737 227439 270666 277981 303474 454878 455211 555962 556369 833943 910422 933661 1112738 1667886 1669107 1867322 2501829 2800983 3338214 5003658 5007321 5601966 8402949 10014642 10270271 16805898 20540542 30810813 34545457 61621626 69090914 92432439 103636371 184864878 207272742 310909113 380000027 621818226 760000054 1140000081 2280000162 3420000243 6840000486