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6115770420 = 22351376591129
BaseRepresentation
bin1011011001000011…
…10100000000110100
3120210012220022211120
411230201310000310
5100011114123140
62450510103540
7304361122314
oct55441640064
916705808746
106115770420
112659213921
1212281aabb0
13766071786
14420347444
1525bda51d0
hex16c874034

6115770420 has 96 divisors (see below), whose sum is σ = 17290627200. Its totient is φ = 1615079424.

The previous prime is 6115770413. The next prime is 6115770439. The reversal of 6115770420 is 240775116.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5416416 + ... + 5417544.

It is an arithmetic number, because the mean of its divisors is an integer number (180110700).

Almost surely, 26115770420 is an apocalyptic number.

6115770420 is a gapful number since it is divisible by the number (60) 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 6115770420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8645313600).

6115770420 is an abundant number, since it is smaller than the sum of its proper divisors (11174856780).

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

6115770420 is a wasteful number, since it uses less digits than its factorization.

6115770420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1937 (or 1935 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 33.

The square root of 6115770420 is about 78203.3913586873. The cubic root of 6115770420 is about 1828.7333765548.

The spelling of 6115770420 in words is "six billion, one hundred fifteen million, seven hundred seventy thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 137 274 411 548 659 685 822 1129 1318 1370 1644 1977 2055 2258 2636 2740 3295 3387 3954 4110 4516 5645 6590 6774 7908 8220 9885 11290 13180 13548 16935 19770 22580 33870 39540 67740 90283 154673 180566 270849 309346 361132 451415 464019 541698 618692 744011 773365 902830 928038 1083396 1354245 1488022 1546730 1805660 1856076 2232033 2320095 2708490 2976044 3093460 3720055 4464066 4640190 5416980 7440110 8928132 9280380 11160165 14880220 22320330 44640660 101929507 203859014 305788521 407718028 509647535 611577042 1019295070 1223154084 1528942605 2038590140 3057885210 6115770420