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6057268100 = 22521343108359
BaseRepresentation
bin1011010010000101…
…01001001110000100
3120122010211002201222
411221002221032010
544401130034400
62441020135512
7303050633522
oct55102511604
916563732658
106057268100
1126291961a4
121210697598
13756bca410
14416679312
15256b9b185
hex1690a9384

6057268100 has 72 divisors (see below), whose sum is σ = 14484697920. Its totient is φ = 2184497280.

The previous prime is 6057268093. The next prime is 6057268117. The reversal of 6057268100 is 18627506.

It is a super-2 number, since 2×60572681002 = 73380993670555220000, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 1721 + ... + 110079.

It is an arithmetic number, because the mean of its divisors is an integer number (201176360).

Almost surely, 26057268100 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 6057268100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7242348960).

6057268100 is an abundant number, since it is smaller than the sum of its proper divisors (8427429820).

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

6057268100 is a wasteful number, since it uses less digits than its factorization.

6057268100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108429 (or 108422 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 35.

The square root of 6057268100 is about 77828.4530232999. The cubic root of 6057268100 is about 1822.8835764653.

The spelling of 6057268100 in words is "six billion, fifty-seven million, two hundred sixty-eight thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 43 50 52 65 86 100 130 172 215 260 325 430 559 650 860 1075 1118 1300 2150 2236 2795 4300 5590 11180 13975 27950 55900 108359 216718 433436 541795 1083590 1408667 2167180 2708975 2817334 4659437 5417950 5634668 7043335 9318874 10835900 14086670 18637748 23297185 28173340 35216675 46594370 60572681 70433350 93188740 116485925 121145362 140866700 232971850 242290724 302863405 465943700 605726810 1211453620 1514317025 3028634050 6057268100