Search a number
-
+
109116848 = 24193789109
BaseRepresentation
bin1101000000011…
…11110110110000
321121022201011202
412200033312300
5210413214343
614454430332
72463322631
oct640176660
9247281152
10109116848
1156659115
12306623a8
13197b63a9
14106c5888
1598a5db8
hex680fdb0

109116848 has 80 divisors (see below), whose sum is σ = 233244000. Its totient is φ = 49268736.

The previous prime is 109116841. The next prime is 109116851. The reversal of 109116848 is 848611901.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is not an unprimeable number, because it can be changed into a prime (109116841) 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 15 ways as a sum of consecutive naturals, for example, 1001018 + ... + 1001126.

It is an arithmetic number, because the mean of its divisors is an integer number (2915550).

Almost surely, 2109116848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109116848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116622000).

109116848 is an abundant number, since it is smaller than the sum of its proper divisors (124127152).

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

109116848 is a wasteful number, since it uses less digits than its factorization.

109116848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 38.

The square root of 109116848 is about 10445.9010142735. The cubic root of 109116848 is about 477.8562501397.

The spelling of 109116848 in words is "one hundred nine million, one hundred sixteen thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 16 19 37 38 74 76 89 109 148 152 178 218 296 304 356 436 592 703 712 872 1406 1424 1691 1744 2071 2812 3293 3382 4033 4142 5624 6586 6764 8066 8284 9701 11248 13172 13528 16132 16568 19402 26344 27056 32264 33136 38804 52688 62567 64528 76627 77608 125134 153254 155216 184319 250268 306508 358937 368638 500536 613016 717874 737276 1001072 1226032 1435748 1474552 2871496 2949104 5742992 6819803 13639606 27279212 54558424 109116848