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6057913840 = 245119770969
BaseRepresentation
bin1011010010001010…
…00110110111110000
3120122012000220112021
411221011012313300
544401311220330
62441042041224
7303056263246
oct55105066760
916565026467
106057913840
112629597370
121210949214
13757095304
144167a6796
15256c7767a
hex169146df0

6057913840 has 80 divisors (see below), whose sum is σ = 15523693920. Its totient is φ = 2180136960.

The previous prime is 6057913789. The next prime is 6057913847. The reversal of 6057913840 is 483197506.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×60579138403 (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6057913847) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49876 + ... + 120844.

It is an arithmetic number, because the mean of its divisors is an integer number (194046174).

Almost surely, 26057913840 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 6057913840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7761846960).

6057913840 is an abundant number, since it is smaller than the sum of its proper divisors (9465780080).

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

6057913840 is a wasteful number, since it uses less digits than its factorization.

6057913840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71090 (or 71084 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 43.

The square root of 6057913840 is about 77832.6013955592. The cubic root of 6057913840 is about 1822.9483508264.

The spelling of 6057913840 in words is "six billion, fifty-seven million, nine hundred thirteen thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 97 110 176 194 220 388 440 485 776 880 970 1067 1552 1940 2134 3880 4268 5335 7760 8536 10670 17072 21340 42680 70969 85360 141938 283876 354845 567752 709690 780659 1135504 1419380 1561318 2838760 3122636 3903295 5677520 6245272 6883993 7806590 12490544 13767986 15613180 27535972 31226360 34419965 55071944 62452720 68839930 75723923 110143888 137679860 151447846 275359720 302895692 378619615 550719440 605791384 757239230 1211582768 1514478460 3028956920 6057913840