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109393284 = 2237211131301
BaseRepresentation
bin1101000010100…
…11010110000100
321121211202101010
412201103112010
5211001041114
614504402220
72465553600
oct641232604
9247752333
10109393284
1156827880
1230776370
1319882170
1410758500
15990cc59
hex6853584

109393284 has 144 divisors (see below), whose sum is σ = 349102656. Its totient is φ = 26208000.

The previous prime is 109393261. The next prime is 109393337. The reversal of 109393284 is 482393901.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

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, 83434 + ... + 84734.

It is an arithmetic number, because the mean of its divisors is an integer number (2424324).

Almost surely, 2109393284 is an apocalyptic number.

109393284 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 109393284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174551328).

109393284 is an abundant number, since it is smaller than the sum of its proper divisors (239709372).

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

109393284 is a wasteful number, since it uses less digits than its factorization.

109393284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1346 (or 1337 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 109393284 is about 10459.1244375426. The cubic root of 109393284 is about 478.2594426150.

It can be divided in two parts, 109 and 393284, that added together give a palindrome (393393).

The spelling of 109393284 in words is "one hundred nine million, three hundred ninety-three thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 7 11 12 13 14 21 22 26 28 33 39 42 44 49 52 66 77 78 84 91 98 132 143 147 154 156 182 196 231 273 286 294 308 364 429 462 539 546 572 588 637 858 924 1001 1078 1092 1274 1301 1617 1716 1911 2002 2156 2548 2602 3003 3234 3822 3903 4004 5204 6006 6468 7007 7644 7806 9107 12012 14014 14311 15612 16913 18214 21021 27321 28028 28622 33826 36428 42042 42933 50739 54642 57244 63749 67652 84084 85866 100177 101478 109284 118391 127498 171732 186043 191247 200354 202956 236782 254996 300531 355173 372086 382494 400708 473564 558129 601062 701239 710346 744172 764988 828737 1116258 1202124 1302301 1402478 1420692 1657474 2103717 2232516 2486211 2604602 2804956 3314948 3906903 4207434 4972422 5209204 7813806 8414868 9116107 9944844 15627612 18232214 27348321 36464428 54696642 109393284