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1135120140 = 2232571181899
BaseRepresentation
bin100001110101000…
…1000111100001100
32221002221002002200
41003222020330030
54311042321030
6304345321500
740062235110
oct10352107414
92832832080
101135120140
11532822620
12278196290
1315122932b
14aaa81740
15699c1d60
hex43a88f0c

1135120140 has 144 divisors (see below), whose sum is σ = 4292870400. Its totient is φ = 235866240.

The previous prime is 1135120121. The next prime is 1135120163. The reversal of 1135120140 is 410215311.

1135120140 is a `hidden beast` number, since 1 + 13 + 512 + 0 + 140 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 47 ways as a sum of consecutive naturals, for example, 27090 + ... + 54809.

It is an arithmetic number, because the mean of its divisors is an integer number (29811600).

Almost surely, 21135120140 is an apocalyptic number.

1135120140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1135120140 is an abundant number, since it is smaller than the sum of its proper divisors (3157750260).

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

1135120140 is a wasteful number, since it uses less digits than its factorization.

1135120140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81932 (or 81927 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 1135120140 is about 33691.5440429791. The cubic root of 1135120140 is about 1043.1512346629.

Adding to 1135120140 its reverse (410215311), we get a palindrome (1545335451).

The spelling of 1135120140 in words is "one billion, one hundred thirty-five million, one hundred twenty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 11 12 14 15 18 20 21 22 28 30 33 35 36 42 44 45 55 60 63 66 70 77 84 90 99 105 110 126 132 140 154 165 180 198 210 220 231 252 308 315 330 385 396 420 462 495 630 660 693 770 924 990 1155 1260 1386 1540 1980 2310 2772 3465 4620 6930 13860 81899 163798 245697 327596 409495 491394 573293 737091 818990 900889 982788 1146586 1228485 1474182 1637980 1719879 1801778 2293172 2456970 2702667 2866465 2948364 3439758 3603556 3685455 4504445 4913940 5159637 5405334 5732930 6306223 6879516 7370910 8108001 8599395 9008890 10319274 10810668 11465860 12612446 13513335 14741820 16216002 17198790 18017780 18918669 20638548 25224892 25798185 27026670 31531115 32432004 34397580 37837338 40540005 51596370 54053340 56756007 63062230 75674676 81080010 94593345 103192740 113512014 126124460 162160020 189186690 227024028 283780035 378373380 567560070 1135120140