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1142336020 = 225726197197
BaseRepresentation
bin100010000010110…
…1010101000010100
32221121111200102111
41010011222220110
54314414223040
6305204120404
740210460500
oct10405525024
92847450374
101142336020
11536900a61
1227a696104
13152884897
14ab9dd300
156a449dea
hex4416aa14

1142336020 has 144 divisors (see below), whose sum is σ = 2880096912. Its totient is φ = 379330560.

The previous prime is 1142336017. The next prime is 1142336021. The reversal of 1142336020 is 206332411.

It can be written as a sum of positive squares in 8 ways, for example, as 6780816 + 1135555204 = 2604^2 + 33698^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1142335982 and 1142336000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1142336021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5798562 + ... + 5798758.

It is an arithmetic number, because the mean of its divisors is an integer number (20000673).

Almost surely, 21142336020 is an apocalyptic number.

1142336020 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 1142336020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1440048456).

1142336020 is an abundant number, since it is smaller than the sum of its proper divisors (1737760892).

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

1142336020 is a wasteful number, since it uses less digits than its factorization.

1142336020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 1142336020 is about 33798.4617993186. The cubic root of 1142336020 is about 1045.3569806690.

Adding to 1142336020 its reverse (206332411), we get a palindrome (1348668431).

The spelling of 1142336020 in words is "one billion, one hundred forty-two million, three hundred thirty-six thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 61 70 97 98 122 140 194 196 197 244 245 305 388 394 427 485 490 610 679 788 854 970 980 985 1220 1358 1379 1708 1940 1970 2135 2716 2758 2989 3395 3940 4270 4753 5516 5917 5978 6790 6895 8540 9506 9653 11834 11956 12017 13580 13790 14945 19012 19109 19306 23668 23765 24034 27580 29585 29890 38218 38612 41419 47530 48068 48265 59170 59780 60085 76436 82838 84119 95060 95545 96530 118340 120170 133763 165676 168238 191090 193060 207095 240340 267526 289933 336476 382180 414190 420595 535052 579866 588833 668815 828380 841190 936341 1159732 1165649 1177666 1337630 1449665 1682380 1872682 2331298 2355332 2675260 2899330 2944165 3745364 4662596 4681705 5798660 5828245 5888330 8159543 9363410 11656490 11776660 16319086 18726820 23312980 32638172 40797715 57116801 81595430 114233602 163190860 228467204 285584005 571168010 1142336020