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109383680 = 212572109
BaseRepresentation
bin1101000010100…
…01000000000000
321121211021012102
412201101000000
5211000234210
614504245532
72465513600
oct641210000
9247737172
10109383680
115682063a
12307708a8
131987a993
1410754c00
159909ea5
hex6851000

109383680 has 156 divisors (see below), whose sum is σ = 308145420. Its totient is φ = 37158912.

The previous prime is 109383649. The next prime is 109383683. The reversal of 109383680 is 86383901.

It can be written as a sum of positive squares in 2 ways, for example, as 58003456 + 51380224 = 7616^2 + 7168^2 .

It is not an unprimeable number, because it can be changed into a prime (109383683) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1003466 + ... + 1003574.

Almost surely, 2109383680 is an apocalyptic number.

109383680 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 109383680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154072710).

109383680 is an abundant number, since it is smaller than the sum of its proper divisors (198761740).

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

109383680 is an equidigital number, since it uses as much as digits as its factorization.

109383680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 38.

The square root of 109383680 is about 10458.6653068162. The cubic root of 109383680 is about 478.2454462100.

The spelling of 109383680 in words is "one hundred nine million, three hundred eighty-three thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 109 112 128 140 160 196 218 224 245 256 280 320 392 436 448 490 512 545 560 640 763 784 872 896 980 1024 1090 1120 1280 1526 1568 1744 1792 1960 2048 2180 2240 2560 3052 3136 3488 3584 3815 3920 4096 4360 4480 5120 5341 6104 6272 6976 7168 7630 7840 8720 8960 10240 10682 12208 12544 13952 14336 15260 15680 17440 17920 20480 21364 24416 25088 26705 27904 28672 30520 31360 34880 35840 42728 48832 50176 53410 55808 61040 62720 69760 71680 85456 97664 100352 106820 111616 122080 125440 139520 143360 170912 195328 200704 213640 223232 244160 250880 279040 341824 390656 427280 446464 488320 501760 558080 683648 781312 854560 976640 1003520 1116160 1367296 1562624 1709120 1953280 2232320 2734592 3125248 3418240 3906560 5469184 6836480 7813120 10938368 13672960 15626240 21876736 27345920 54691840 109383680