Search a number
-
+
109589454 = 23213191572
BaseRepresentation
bin1101000100000…
…11001111001110
321122012201110200
412202003033032
5211023330304
614512514330
72500331532
oct642031716
9248181420
10109589454
11569511a7
123084b9a6
1319920540
14107a9bc2
15994ae39
hex68833ce

109589454 has 72 divisors (see below), whose sum is σ = 270892440. Its totient is φ = 31741632.

The previous prime is 109589437. The next prime is 109589461. The reversal of 109589454 is 454985901.

109589454 is a `hidden beast` number, since 10 + 9 + 589 + 4 + 54 = 666.

It is a congruent 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 35 ways as a sum of consecutive naturals, for example, 697944 + ... + 698100.

It is an arithmetic number, because the mean of its divisors is an integer number (3762395).

Almost surely, 2109589454 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109589454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135446220).

109589454 is an abundant number, since it is smaller than the sum of its proper divisors (161302986).

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

109589454 is a wasteful number, since it uses less digits than its factorization.

109589454 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The square root of 109589454 is about 10468.4981730905. The cubic root of 109589454 is about 478.5451522006.

The spelling of 109589454 in words is "one hundred nine million, five hundred eighty-nine thousand, four hundred fifty-four".

Divisors: 1 2 3 6 9 13 18 19 26 38 39 57 78 114 117 157 171 234 247 314 342 471 494 741 942 1413 1482 2041 2223 2826 2983 4082 4446 5966 6123 8949 12246 17898 18369 24649 26847 36738 38779 49298 53694 73947 77558 116337 147894 221841 232674 320437 349011 443682 468331 640874 698022 936662 961311 1404993 1922622 2809986 2883933 4214979 5767866 6088303 8429958 12176606 18264909 36529818 54794727 109589454