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1057842786 = 2371113891979
BaseRepresentation
bin111111000011010…
…110011001100010
32201201111222111110
4333003112121202
54131301432121
6252545124150
735133341520
oct7703263142
92651458443
101057842786
114a3140a40
12256329656
1313b2102a0
14a06c7310
1562d09d76
hex3f0d6662

1057842786 has 128 divisors (see below), whose sum is σ = 2874009600. Its totient is φ = 250652160.

The previous prime is 1057842739. The next prime is 1057842787. The reversal of 1057842786 is 6872487501.

It is a super-3 number, since 3×10578427863 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1057842787) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 533545 + ... + 535523.

It is an arithmetic number, because the mean of its divisors is an integer number (22453200).

Almost surely, 21057842786 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1057842786, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1437004800).

1057842786 is an abundant number, since it is smaller than the sum of its proper divisors (1816166814).

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

1057842786 is a wasteful number, since it uses less digits than its factorization.

1057842786 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2104.

The product of its (nonzero) digits is 752640, while the sum is 48.

The square root of 1057842786 is about 32524.4951690261. The cubic root of 1057842786 is about 1018.9206787640.

The spelling of 1057842786 in words is "one billion, fifty-seven million, eight hundred forty-two thousand, seven hundred eighty-six".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 89 91 143 154 178 182 231 267 273 286 429 462 534 546 623 858 979 1001 1157 1246 1869 1958 1979 2002 2314 2937 3003 3471 3738 3958 5874 5937 6006 6853 6942 8099 11874 12727 13706 13853 16198 20559 21769 24297 25454 25727 27706 38181 41118 41559 43538 48594 51454 65307 76362 77181 83118 89089 130614 152383 154362 176131 178178 180089 267267 282997 304766 352262 360178 457149 528393 534534 540267 565994 848991 914298 1056786 1080534 1232917 1697982 1937441 1980979 2289703 2465834 3698751 3874882 3961958 4579406 5812323 5942937 6869109 7397502 11624646 11885874 13562087 13738218 16027921 25186733 27124174 32055842 40686261 48083763 50373466 75560199 81372522 96167526 151120398 176307131 352614262 528921393 1057842786