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109054080 = 273356311
BaseRepresentation
bin1101000000000…
…00100010000000
321121012112002000
412200000202000
5210404212310
614453224000
72462641632
oct640004200
9247175060
10109054080
1156615a43
1230632000
1319793955
14106aaa52
1598924c0
hex6800880

109054080 has 128 divisors (see below), whose sum is σ = 386294400. Its totient is φ = 29076480.

The previous prime is 109054039. The next prime is 109054087. The reversal of 109054080 is 80450901.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109054087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14125 + ... + 20435.

It is an arithmetic number, because the mean of its divisors is an integer number (3017925).

Almost surely, 2109054080 is an apocalyptic number.

109054080 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 109054080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193147200).

109054080 is an abundant number, since it is smaller than the sum of its proper divisors (277240320).

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

109054080 is an equidigital number, since it uses as much as digits as its factorization.

109054080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6339 (or 6321 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 109054080 is about 10442.8961500151. The cubic root of 109054080 is about 477.7646057703.

The spelling of 109054080 in words is "one hundred nine million, fifty-four thousand, 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 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 270 288 320 360 384 432 480 540 576 640 720 864 960 1080 1152 1440 1728 1920 2160 2880 3456 4320 5760 6311 8640 12622 17280 18933 25244 31555 37866 50488 56799 63110 75732 94665 100976 113598 126220 151464 170397 189330 201952 227196 252440 283995 302928 340794 378660 403904 454392 504880 567990 605856 681588 757320 807808 851985 908784 1009760 1135980 1211712 1363176 1514640 1703970 1817568 2019520 2271960 2423424 2726352 3029280 3407940 3635136 4039040 4543920 5452704 6058560 6815880 7270272 9087840 10905408 12117120 13631760 18175680 21810816 27263520 36351360 54527040 109054080