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1140040020 = 2235713719813
BaseRepresentation
bin100001111110011…
…1010000101010100
32221110012000220110
41003330322011110
54313322240040
6305043003020
740152115560
oct10374720524
92843160813
101140040020
11535582a39
12279969470
1315225c7c2
14ab5a26a0
156a144980
hex43f3a154

1140040020 has 96 divisors (see below), whose sum is σ = 3674942208. Its totient is φ = 258665472.

The previous prime is 1140039997. The next prime is 1140040049. The reversal of 1140040020 is 200400411.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1140039978 and 1140040005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47634 + ... + 67446.

It is an arithmetic number, because the mean of its divisors is an integer number (38280648).

Almost surely, 21140040020 is an apocalyptic number.

1140040020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1140040020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1837471104).

1140040020 is an abundant number, since it is smaller than the sum of its proper divisors (2534902188).

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

1140040020 is a wasteful number, since it uses less digits than its factorization.

1140040020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19969 (or 19967 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 1140040020 is about 33764.4786721193. The cubic root of 1140040020 is about 1044.6561508459.

Adding to 1140040020 its reverse (200400411), we get a palindrome (1340440431).

The spelling of 1140040020 in words is "one billion, one hundred forty million, forty thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 137 140 210 274 411 420 548 685 822 959 1370 1644 1918 2055 2740 2877 3836 4110 4795 5754 8220 9590 11508 14385 19180 19813 28770 39626 57540 59439 79252 99065 118878 138691 198130 237756 277382 297195 396260 416073 554764 594390 693455 832146 1188780 1386910 1664292 2080365 2714381 2773820 4160730 5428762 8143143 8321460 10857524 13571905 16286286 19000667 27143810 32572572 38001334 40715715 54287620 57002001 76002668 81431430 95003335 114004002 162862860 190006670 228008004 285010005 380013340 570020010 1140040020