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1116142272 = 26327276821
BaseRepresentation
bin100001010000110…
…1111101011000000
32212210012220100200
41002201233223000
54241213023042
6302430445200
736442024050
oct10241575300
92783186320
101116142272
11523040233
12271963800
1314a31321b
14a8341560
1567ec3c4c
hex4286fac0

1116142272 has 84 divisors (see below), whose sum is σ = 3656264976. Its totient is φ = 318896640.

The previous prime is 1116142243. The next prime is 1116142273. The reversal of 1116142272 is 2722416111.

1116142272 is a `hidden beast` number, since 11 + 161 + 422 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (84).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (1116142273) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 134379 + ... + 142442.

It is an arithmetic number, because the mean of its divisors is an integer number (43526964).

Almost surely, 21116142272 is an apocalyptic number.

1116142272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1116142272 is an abundant number, since it is smaller than the sum of its proper divisors (2540122704).

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

1116142272 is a wasteful number, since it uses less digits than its factorization.

1116142272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276846 (or 276833 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 1116142272 is about 33408.7155095792. The cubic root of 1116142272 is about 1037.3051136726.

Adding to 1116142272 its reverse (2722416111), we get a palindrome (3838558383).

The spelling of 1116142272 in words is "one billion, one hundred sixteen million, one hundred forty-two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 2016 4032 276821 553642 830463 1107284 1660926 1937747 2214568 2491389 3321852 3875494 4429136 4982778 5813241 6643704 7750988 8858272 9965556 11626482 13287408 15501976 17439723 17716544 19931112 23252964 26574816 31003952 34879446 39862224 46505928 53149632 62007904 69758892 79724448 93011856 124015808 139517784 159448896 186023712 279035568 372047424 558071136 1116142272