Search a number
-
+
109484208 = 24323312297
BaseRepresentation
bin1101000011010…
…01100010110000
321122000101002200
412201221202300
5211011443313
614510343200
72466412641
oct641514260
9248011080
10109484208
115688a119
12307bab00
13198b4672
141077d6c8
159929b73
hex68698b0

109484208 has 60 divisors (see below), whose sum is σ = 307463208. Its totient is φ = 36368640.

The previous prime is 109484173. The next prime is 109484237. The reversal of 109484208 is 802484901.

It is a super-3 number, since 3×1094842083 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46516 + ... + 48812.

Almost surely, 2109484208 is an apocalyptic number.

109484208 is a gapful number since it is divisible by the number (18) 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 109484208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153731604).

109484208 is an abundant number, since it is smaller than the sum of its proper divisors (197979000).

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

109484208 is a wasteful number, since it uses less digits than its factorization.

109484208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2642 (or 2633 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 109484208 is about 10463.4701700726. The cubic root of 109484208 is about 478.3919102818.

The spelling of 109484208 in words is "one hundred nine million, four hundred eighty-four thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 331 662 993 1324 1986 2297 2648 2979 3972 4594 5296 5958 6891 7944 9188 11916 13782 15888 18376 20673 23832 27564 36752 41346 47664 55128 82692 110256 165384 330768 760307 1520614 2280921 3041228 4561842 6082456 6842763 9123684 12164912 13685526 18247368 27371052 36494736 54742104 109484208