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110328480 = 253458513
BaseRepresentation
bin1101001001101…
…11101010100000
321200121021020000
412210313222200
5211221002410
614540420000
72506530243
oct644675240
9250537200
10110328480
1157306469
1230b47600
1319b1ba32
141091d25a
159a44dc0
hex6937aa0

110328480 has 120 divisors (see below), whose sum is σ = 389413332. Its totient is φ = 29417472.

The previous prime is 110328469. The next prime is 110328481. The reversal of 110328480 is 84823011.

It can be written as a sum of positive squares in 2 ways, for example, as 103795344 + 6533136 = 10188^2 + 2556^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×1103284802 = 24344746998220800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (110328481) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 8704 + ... + 17216.

Almost surely, 2110328480 is an apocalyptic number.

110328480 is a gapful number since it is divisible by the number (10) 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 110328480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194706666).

110328480 is an abundant number, since it is smaller than the sum of its proper divisors (279084852).

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

110328480 is an equidigital number, since it uses as much as digits as its factorization.

110328480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8540 (or 8523 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 110328480 is about 10503.7364780349. The cubic root of 110328480 is about 479.6184467827.

The spelling of 110328480 in words is "one hundred ten million, three hundred twenty-eight thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 81 90 96 108 120 135 144 160 162 180 216 240 270 288 324 360 405 432 480 540 648 720 810 864 1080 1296 1440 1620 2160 2592 3240 4320 6480 8513 12960 17026 25539 34052 42565 51078 68104 76617 85130 102156 127695 136208 153234 170260 204312 229851 255390 272416 306468 340520 383085 408624 459702 510780 612936 681040 689553 766170 817248 919404 1021560 1149255 1225872 1362080 1379106 1532340 1838808 2043120 2298510 2451744 2758212 3064680 3447765 3677616 4086240 4597020 5516424 6129360 6895530 7355232 9194040 11032848 12258720 13791060 18388080 22065696 27582120 36776160 55164240 110328480