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109027296 = 253572003
BaseRepresentation
bin1100111111110…
…01111111100000
321121011011100000
412133321333200
5210402333141
614452500000
72462500560
oct637717740
9247134300
10109027296
11565a7904
123061a600
13197846c1
14106a0da0
1598895b6
hex67f9fe0

109027296 has 144 divisors (see below), whose sum is σ = 367645824. Its totient is φ = 31135104.

The previous prime is 109027267. The next prime is 109027297. The reversal of 109027296 is 692720901.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 109027296.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109027297) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53431 + ... + 55433.

It is an arithmetic number, because the mean of its divisors is an integer number (2553096).

Almost surely, 2109027296 is an apocalyptic number.

109027296 is a gapful number since it is divisible by the number (16) 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 109027296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183822912).

109027296 is an abundant number, since it is smaller than the sum of its proper divisors (258618528).

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

109027296 is an equidigital number, since it uses as much as digits as its factorization.

109027296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2035 (or 2015 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 109027296 is about 10441.6136683944. The cubic root of 109027296 is about 477.7254891077.

The spelling of 109027296 in words is "one hundred nine million, twenty-seven thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 81 84 96 108 112 126 144 162 168 189 216 224 243 252 288 324 336 378 432 486 504 567 648 672 756 864 972 1008 1134 1296 1512 1701 1944 2003 2016 2268 2592 3024 3402 3888 4006 4536 6009 6048 6804 7776 8012 9072 12018 13608 14021 16024 18027 18144 24036 27216 28042 32048 36054 42063 48072 54081 54432 56084 64096 72108 84126 96144 108162 112168 126189 144216 162243 168252 192288 216324 224336 252378 288432 324486 336504 378567 432648 448672 486729 504756 576864 648972 673008 757134 865296 973458 1009512 1135701 1297944 1346016 1514268 1730592 1946916 2019024 2271402 2595888 3028536 3407103 3893832 4038048 4542804 5191776 6057072 6814206 7787664 9085608 12114144 13628412 15575328 18171216 27256824 36342432 54513648 109027296