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1141020540 = 2233511192091
BaseRepresentation
bin100010000000010…
…1001011101111100
32221112000211221000
41010000221131330
54314100124130
6305120010300
740163341332
oct10400513574
92845024830
101141020540
11536092690
1227a160990
13152513baa
14ab779b52
156a28a260
hex4402977c

1141020540 has 96 divisors (see below), whose sum is σ = 3872574720. Its totient is φ = 276609600.

The previous prime is 1141020527. The next prime is 1141020557. The reversal of 1141020540 is 450201411.

1141020540 is a `hidden beast` number, since 11 + 410 + 205 + 40 = 666.

It is a super-3 number, since 3×11410205403 (a number of 28 digits) contains 333 as substring.

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

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 90106 + ... + 101985.

It is an arithmetic number, because the mean of its divisors is an integer number (40339320).

Almost surely, 21141020540 is an apocalyptic number.

1141020540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1141020540 is an abundant number, since it is smaller than the sum of its proper divisors (2731554180).

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

1141020540 is a wasteful number, since it uses less digits than its factorization.

1141020540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192120 (or 192112 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 1141020540 is about 33778.9955445688. The cubic root of 1141020540 is about 1044.9555592618.

Adding to 1141020540 its reverse (450201411), we get a palindrome (1591221951).

The spelling of 1141020540 in words is "one billion, one hundred forty-one million, twenty thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 90 99 108 110 132 135 165 180 198 220 270 297 330 396 495 540 594 660 990 1188 1485 1980 2970 5940 192091 384182 576273 768364 960455 1152546 1728819 1920910 2113001 2305092 2881365 3457638 3841820 4226002 5186457 5762730 6339003 6915276 8452004 8644095 10372914 10565005 11525460 12678006 17288190 19017009 20745828 21130010 25356012 25932285 31695015 34576380 38034018 42260020 51864570 57051027 63390030 76068036 95085045 103729140 114102054 126780060 190170090 228204108 285255135 380340180 570510270 1141020540