Search a number
-
+
1056111840 = 253257104773
BaseRepresentation
bin111110111100101…
…111110011100000
32201121021001002100
4332330233303200
54130331034330
6252444050400
735112542160
oct7674576340
92647231070
101056111840
114a2169503
12255833a00
1313aa55464
14a03965a0
1562ab7060
hex3ef2fce0

1056111840 has 144 divisors (see below), whose sum is σ = 4118875488. Its totient is φ = 241394688.

The previous prime is 1056111829. The next prime is 1056111857. The reversal of 1056111840 is 481116501.

1056111840 is a `hidden beast` number, since 1 + 0 + 5 + 611 + 1 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×10561118402 = 2230744437176371200, which contains 22 as substring.

It is a congruent number.

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, 42307 + ... + 62466.

It is an arithmetic number, because the mean of its divisors is an integer number (28603302).

Almost surely, 21056111840 is an apocalyptic number.

1056111840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1056111840 is an abundant number, since it is smaller than the sum of its proper divisors (3062763648).

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

1056111840 is a wasteful number, since it uses less digits than its factorization.

1056111840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104801 (or 104790 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

The square root of 1056111840 is about 32497.8743920275. The cubic root of 1056111840 is about 1018.3646227509.

It can be divided in two parts, 1056 and 111840, that added together give a square (112896 = 3362).

The spelling of 1056111840 in words is "one billion, fifty-six million, one hundred eleven thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 70 72 80 84 90 96 105 112 120 126 140 144 160 168 180 210 224 240 252 280 288 315 336 360 420 480 504 560 630 672 720 840 1008 1120 1260 1440 1680 2016 2520 3360 5040 10080 104773 209546 314319 419092 523865 628638 733411 838184 942957 1047730 1257276 1466822 1571595 1676368 1885914 2095460 2200233 2514552 2933644 3143190 3352736 3667055 3771828 4190920 4400466 4714785 5029104 5867288 6286380 6600699 7334110 7543656 8381840 8800932 9429570 10058208 11001165 11734576 12572760 13201398 14668220 15087312 16763680 17601864 18859140 22002330 23469152 25145520 26402796 29336440 30174624 33003495 35203728 37718280 44004660 50291040 52805592 58672880 66006990 70407456 75436560 88009320 105611184 117345760 132013980 150873120 176018640 211222368 264027960 352037280 528055920 1056111840