Search a number
-
+
109080288 = 2532675653
BaseRepresentation
bin1101000000001…
…10111011100000
321121020212000200
412200012323200
5210411032123
614453545200
72463111222
oct640067340
9247225020
10109080288
11566336a9
1230645200
13197a2865
14106b6412
15989a143
hex6806ee0

109080288 has 72 divisors (see below), whose sum is σ = 314882568. Its totient is φ = 35811072.

The previous prime is 109080263. The next prime is 109080331. The reversal of 109080288 is 882080901.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

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, 16470 + ... + 22122.

It is an arithmetic number, because the mean of its divisors is an integer number (4373369).

Almost surely, 2109080288 is an apocalyptic number.

109080288 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 109080288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157441284).

109080288 is an abundant number, since it is smaller than the sum of its proper divisors (205802280).

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

109080288 is a wasteful number, since it uses less digits than its factorization.

109080288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5736 (or 5725 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 109080288 is about 10444.1508989482. The cubic root of 109080288 is about 477.8028750152.

The spelling of 109080288 in words is "one hundred nine million, eighty thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 67 72 96 134 144 201 268 288 402 536 603 804 1072 1206 1608 2144 2412 3216 4824 5653 6432 9648 11306 16959 19296 22612 33918 45224 50877 67836 90448 101754 135672 180896 203508 271344 378751 407016 542688 757502 814032 1136253 1515004 1628064 2272506 3030008 3408759 4545012 6060016 6817518 9090024 12120032 13635036 18180048 27270072 36360096 54540144 109080288