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1107839628 = 223272659953
BaseRepresentation
bin100001000001000…
…0100101010001100
32212012121002021100
41002002010222030
54232101332003
6301532503100
736311324100
oct10202045214
92765532240
101107839628
1151938a345
1226b01aa90
1314869710c
14a71bd900
15673d3ba3
hex42084a8c

1107839628 has 108 divisors (see below), whose sum is σ = 3265942680. Its totient is φ = 315713664.

The previous prime is 1107839627. The next prime is 1107839633. The reversal of 1107839628 is 8269387011.

1107839628 is a `hidden beast` number, since 1 + 10 + 7 + 8 + 3 + 9 + 628 = 666.

It is not an unprimeable number, because it can be changed into a prime (1107839627) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1162000 + ... + 1162952.

It is an arithmetic number, because the mean of its divisors is an integer number (30240210).

Almost surely, 21107839628 is an apocalyptic number.

1107839628 is a gapful number since it is divisible by the number (18) 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 1107839628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1632971340).

1107839628 is an abundant number, since it is smaller than the sum of its proper divisors (2158103052).

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

1107839628 is a wasteful number, since it uses less digits than its factorization.

1107839628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1636 (or 1624 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 1107839628 is about 33284.2249121111. The cubic root of 1107839628 is about 1034.7266434854.

The spelling of 1107839628 in words is "one billion, one hundred seven million, eight hundred thirty-nine thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 659 882 953 1318 1764 1906 1977 2636 2859 3812 3954 4613 5718 5931 6671 7908 8577 9226 11436 11862 13342 13839 17154 18452 20013 23724 26684 27678 32291 34308 40026 41517 46697 55356 60039 64582 80052 83034 93394 96873 120078 129164 140091 166068 186788 193746 240156 280182 290619 387492 420273 560364 581238 628027 840546 1162476 1256054 1681092 1884081 2512108 3768162 4396189 5652243 7536324 8792378 11304486 13188567 17584756 22608972 26377134 30773323 39565701 52754268 61546646 79131402 92319969 123093292 158262804 184639938 276959907 369279876 553919814 1107839628