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109482912 = 25327114937
BaseRepresentation
bin1101000011010…
…01001110100000
321122000022022200
412201221032200
5211011423122
614510333200
72466406110
oct641511640
9248008280
10109482912
1156889150
12307ba200
13198b3bb6
141077d040
1599295ac
hex68693a0

109482912 has 144 divisors (see below), whose sum is σ = 388245312. Its totient is φ = 28431360.

The previous prime is 109482899. The next prime is 109482929. The reversal of 109482912 is 219284901.

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 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 23 ways as a sum of consecutive naturals, for example, 19708 + ... + 24644.

It is an arithmetic number, because the mean of its divisors is an integer number (2696148).

Almost surely, 2109482912 is an apocalyptic number.

109482912 is a gapful number since it is divisible by the number (12) 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 109482912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194122656).

109482912 is an abundant number, since it is smaller than the sum of its proper divisors (278762400).

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

109482912 is a wasteful number, since it uses less digits than its factorization.

109482912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4971 (or 4960 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 109482912 is about 10463.4082401481. The cubic root of 109482912 is about 478.3900226477.

The spelling of 109482912 in words is "one hundred nine million, four hundred eighty-two thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 32 33 36 42 44 48 56 63 66 72 77 84 88 96 99 112 126 132 144 154 168 176 198 224 231 252 264 288 308 336 352 396 462 504 528 616 672 693 792 924 1008 1056 1232 1386 1584 1848 2016 2464 2772 3168 3696 4937 5544 7392 9874 11088 14811 19748 22176 29622 34559 39496 44433 54307 59244 69118 78992 88866 103677 108614 118488 138236 157984 162921 177732 207354 217228 236976 276472 311031 325842 355464 380149 414708 434456 473952 488763 552944 622062 651684 710928 760298 829416 868912 977526 1105888 1140447 1244124 1303368 1421856 1520596 1658832 1737824 1955052 2280894 2488248 2606736 3041192 3317664 3421341 3910104 4561788 4976496 5213472 6082384 6842682 7820208 9123576 9952992 12164768 13685364 15640416 18247152 27370728 36494304 54741456 109482912