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1106074284 = 2237191136133
BaseRepresentation
bin100000111101101…
…0101101010101100
32212002021101200020
41001323111222230
54231123334114
6301431002140
736260322240
oct10173255254
92762241606
101106074284
11518393a87
1226a509350
131481c9733
14a6c80420
1567185aa9
hex41ed5aac

1106074284 has 96 divisors (see below), whose sum is σ = 3132756480. Its totient is φ = 296690688.

The previous prime is 1106074283. The next prime is 1106074363. The reversal of 1106074284 is 4824706011.

It is a super-2 number, since 2×11060742842 = 2446800643452225312, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1106074283) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 177282 + ... + 183414.

It is an arithmetic number, because the mean of its divisors is an integer number (32632880).

Almost surely, 21106074284 is an apocalyptic number.

1106074284 is a gapful number since it is divisible by the number (14) 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 1106074284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1566378240).

1106074284 is an abundant number, since it is smaller than the sum of its proper divisors (2026682196).

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

1106074284 is a wasteful number, since it uses less digits than its factorization.

1106074284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6279 (or 6277 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 1106074284 is about 33257.6951095532. The cubic root of 1106074284 is about 1034.1767385049.

The spelling of 1106074284 in words is "one billion, one hundred six million, seventy-four thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 84 113 114 133 226 228 266 339 399 452 532 678 791 798 1356 1582 1596 2147 2373 3164 4294 4746 6133 6441 8588 9492 12266 12882 15029 18399 24532 25764 30058 36798 42931 45087 60116 73596 85862 90174 116527 128793 171724 180348 233054 257586 349581 466108 515172 693029 699162 815689 1386058 1398324 1631378 2079087 2447067 2772116 3262756 4158174 4851203 4894134 8316348 9702406 9788268 13167551 14553609 19404812 26335102 29107218 39502653 52670204 58214436 79005306 92172857 158010612 184345714 276518571 368691428 553037142 1106074284