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109255160 = 23573141307
BaseRepresentation
bin1101000001100…
…01100111111000
321121120201220102
412200301213320
5210432131120
614501414532
72464440110
oct640614770
9247521812
10109255160
1156743023
123070a448
1319834331
1410720040
1598d1d75
hex68319f8

109255160 has 128 divisors (see below), whose sum is σ = 298045440. Its totient is φ = 35251200.

The previous prime is 109255127. The next prime is 109255163. The reversal of 109255160 is 61552901.

It is a super-3 number, since 3×1092551603 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109255163) 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 31 ways as a sum of consecutive naturals, for example, 355727 + ... + 356033.

It is an arithmetic number, because the mean of its divisors is an integer number (2328480).

Almost surely, 2109255160 is an apocalyptic number.

109255160 is a gapful number since it is divisible by the number (10) 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 109255160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149022720).

109255160 is an abundant number, since it is smaller than the sum of its proper divisors (188790280).

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

109255160 is a wasteful number, since it uses less digits than its factorization.

109255160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 29.

The square root of 109255160 is about 10452.5193135435. The cubic root of 109255160 is about 478.0580684927.

The spelling of 109255160 in words is "one hundred nine million, two hundred fifty-five thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 28 31 35 40 41 56 62 70 82 124 140 155 164 205 217 248 280 287 307 310 328 410 434 574 614 620 820 868 1085 1148 1228 1240 1271 1435 1535 1640 1736 2149 2170 2296 2456 2542 2870 3070 4298 4340 5084 5740 6140 6355 8596 8680 8897 9517 10168 10745 11480 12280 12587 12710 17192 17794 19034 21490 25174 25420 35588 38068 42980 44485 47585 50348 50840 62935 66619 71176 76136 85960 88109 88970 95170 100696 125870 133238 176218 177940 190340 251740 266476 333095 352436 355880 380680 390197 440545 503480 532952 666190 704872 780394 881090 1332380 1560788 1762180 1950985 2664760 2731379 3121576 3524360 3901970 5462758 7803940 10925516 13656895 15607880 21851032 27313790 54627580 109255160