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6190398340 = 2257261103553
BaseRepresentation
bin1011100001111100…
…11111101110000100
3120222102022211002121
411300332133232010
5100134220221330
62502133415324
7306255342400
oct56076375604
916872284077
106190398340
112697355995
12124919a544
137786708c9
1442a212100
152636e717a
hex170f9fb84

6190398340 has 72 divisors (see below), whose sum is σ = 15370313112. Its totient is φ = 2087608320.

The previous prime is 6190398323. The next prime is 6190398353. The reversal of 6190398340 is 438930916.

It can be written as a sum of positive squares in 4 ways, for example, as 740710656 + 5449687684 = 27216^2 + 73822^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8004 + ... + 111556.

It is an arithmetic number, because the mean of its divisors is an integer number (213476571).

Almost surely, 26190398340 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 6190398340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7685156556).

6190398340 is an abundant number, since it is smaller than the sum of its proper divisors (9179914772).

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

6190398340 is a wasteful number, since it uses less digits than its factorization.

6190398340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103637 (or 103628 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 43.

The square root of 6190398340 is about 78679.0845142469. The cubic root of 6190398340 is about 1836.1417203192.

The spelling of 6190398340 in words is "six billion, one hundred ninety million, three hundred ninety-eight thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 61 70 98 122 140 196 244 245 305 427 490 610 854 980 1220 1708 2135 2989 4270 5978 8540 11956 14945 29890 59780 103553 207106 414212 517765 724871 1035530 1449742 2071060 2899484 3624355 5074097 6316733 7248710 10148194 12633466 14497420 20296388 25266932 25370485 31583665 44217131 50740970 63167330 88434262 101481940 126334660 176868524 221085655 309519917 442171310 619039834 884342620 1238079668 1547599585 3095199170 6190398340