Search a number
-
+
109748128 = 257975051
BaseRepresentation
bin1101000101010…
…01111110100000
321122111210010111
412202221332200
5211043420003
614520141104
72501562250
oct642517640
9248453114
10109748128
1156a4a436
1230907794
1319977829
141080b960
15997ce6d
hex68a9fa0

109748128 has 48 divisors (see below), whose sum is σ = 249528384. Its totient is φ = 46540800.

The previous prime is 109748117. The next prime is 109748137. The reversal of 109748128 is 821847901.

It is a happy number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 19203 + ... + 24253.

It is an arithmetic number, because the mean of its divisors is an integer number (5198508).

Almost surely, 2109748128 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 109748128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124764192).

109748128 is an abundant number, since it is smaller than the sum of its proper divisors (139780256).

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

109748128 is an equidigital number, since it uses as much as digits as its factorization.

109748128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5165 (or 5157 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 40.

The square root of 109748128 is about 10476.0740738122. The cubic root of 109748128 is about 478.7760018327.

The spelling of 109748128 in words is "one hundred nine million, seven hundred forty-eight thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 97 112 194 224 388 679 776 1358 1552 2716 3104 5051 5432 10102 10864 20204 21728 35357 40408 70714 80816 141428 161632 282856 489947 565712 979894 1131424 1959788 3429629 3919576 6859258 7839152 13718516 15678304 27437032 54874064 109748128