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1106083152 = 243243732447
BaseRepresentation
bin100000111101101…
…0111110101010000
32212002021211211200
41001323113311100
54231124130102
6301431111200
736260360136
oct10173276520
92762254750
101106083152
1151839a709
1226a512500
13148200795
14a6c83756
156718851c
hex41ed7d50

1106083152 has 120 divisors (see below), whose sum is σ = 3212187264. Its totient is φ = 355041792.

The previous prime is 1106083141. The next prime is 1106083183. The reversal of 1106083152 is 2513806011.

1106083152 is a `hidden beast` number, since 1 + 1 + 0 + 608 + 3 + 1 + 52 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 450793 + ... + 453239.

Almost surely, 21106083152 is an apocalyptic number.

1106083152 is a gapful number since it is divisible by the number (12) 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 1106083152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1606093632).

1106083152 is an abundant number, since it is smaller than the sum of its proper divisors (2106104112).

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

1106083152 is a wasteful number, since it uses less digits than its factorization.

1106083152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2577 (or 2568 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 1106083152 is about 33257.8284318144. The cubic root of 1106083152 is about 1034.1795023503.

Adding to 1106083152 its reverse (2513806011), we get a palindrome (3619889163).

The spelling of 1106083152 in words is "one billion, one hundred six million, eighty-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 43 48 72 73 86 129 144 146 172 219 258 292 344 387 438 516 584 657 688 774 876 1032 1168 1314 1548 1752 2064 2447 2628 3096 3139 3504 4894 5256 6192 6278 7341 9417 9788 10512 12556 14682 18834 19576 22023 25112 28251 29364 37668 39152 44046 50224 56502 58728 75336 88092 105221 113004 117456 150672 176184 178631 210442 226008 315663 352368 357262 420884 452016 535893 631326 714524 841768 946989 1071786 1262652 1429048 1607679 1683536 1893978 2143572 2525304 2858096 3215358 3787956 4287144 5050608 6430716 7575912 7681133 8574288 12861432 15151824 15362266 23043399 25722864 30724532 46086798 61449064 69130197 92173596 122898128 138260394 184347192 276520788 368694384 553041576 1106083152