Search a number
-
+
109102336 = 287107569
BaseRepresentation
bin1101000000011…
…00010100000000
321121021222021021
412200030110000
5210412233321
614454235224
72463232420
oct640142400
9247258237
10109102336
1156649222
1230655b14
13197ac8c5
14106c0480
1598a1941
hex680c500

109102336 has 72 divisors (see below), whose sum is σ = 251657280. Its totient is φ = 46239744.

The previous prime is 109102333. The next prime is 109102339. The reversal of 109102336 is 633201901.

It is an interprime number because it is at equal distance from previous prime (109102333) and next prime (109102339).

It is a self number, because there is not a number n which added to its sum of digits gives 109102336.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109102333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 191460 + ... + 192028.

It is an arithmetic number, because the mean of its divisors is an integer number (3495240).

Almost surely, 2109102336 is an apocalyptic number.

109102336 is a gapful number since it is divisible by the number (16) 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 109102336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125828640).

109102336 is an abundant number, since it is smaller than the sum of its proper divisors (142554944).

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

109102336 is an equidigital number, since it uses as much as digits as its factorization.

109102336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 25.

The square root of 109102336 is about 10445.2063646440. The cubic root of 109102336 is about 477.8350650295.

The spelling of 109102336 in words is "one hundred nine million, one hundred two thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 107 112 128 214 224 256 428 448 569 749 856 896 1138 1498 1712 1792 2276 2996 3424 3983 4552 5992 6848 7966 9104 11984 13696 15932 18208 23968 27392 31864 36416 47936 60883 63728 72832 95872 121766 127456 145664 191744 243532 254912 426181 487064 509824 852362 974128 1019648 1704724 1948256 3409448 3896512 6818896 7793024 13637792 15586048 27275584 54551168 109102336