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109957050 = 23252767521
BaseRepresentation
bin1101000110111…
…00111110111010
321122220101201100
412203130332322
5211122111200
614524432230
72503422330
oct643347672
9248811640
10109957050
11570823a5
12309a8676
1319a1b958
1410863b50
1599bed00
hex68dcfba

109957050 has 144 divisors (see below), whose sum is σ = 343317312. Its totient is φ = 24710400.

The previous prime is 109957049. The next prime is 109957051. The reversal of 109957050 is 50759901.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (109957049) and next prime (109957051).

It is a junction number, because it is equal to n+sod(n) for n = 109956996 and 109957014.

It is not an unprimeable number, because it can be changed into a prime (109957051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 210790 + ... + 211310.

It is an arithmetic number, because the mean of its divisors is an integer number (2384148).

Almost surely, 2109957050 is an apocalyptic number.

109957050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 109957050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171658656).

109957050 is an abundant number, since it is smaller than the sum of its proper divisors (233360262).

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

109957050 is a wasteful number, since it uses less digits than its factorization.

109957050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 14175, while the sum is 36.

The square root of 109957050 is about 10486.0407208822. The cubic root of 109957050 is about 479.0796165327.

The spelling of 109957050 in words is "one hundred nine million, nine hundred fifty-seven thousand, fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 30 35 42 45 50 63 67 70 75 90 105 126 134 150 175 201 210 225 315 335 350 402 450 469 521 525 603 630 670 938 1005 1042 1050 1206 1407 1563 1575 1675 2010 2345 2605 2814 3015 3126 3150 3350 3647 4221 4689 4690 5025 5210 6030 7035 7294 7815 8442 9378 10050 10941 11725 13025 14070 15075 15630 18235 21105 21882 23445 23450 26050 30150 32823 34907 35175 36470 39075 42210 46890 54705 65646 69814 70350 78150 91175 104721 105525 109410 117225 164115 174535 182350 209442 211050 234450 244349 273525 314163 328230 349070 488698 523605 547050 628326 733047 820575 872675 1047210 1221745 1466094 1570815 1641150 1745350 2199141 2443490 2618025 3141630 3665235 4398282 5236050 6108725 7330470 7854075 10995705 12217450 15708150 18326175 21991410 36652350 54978525 109957050