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109683072 = 273471149
BaseRepresentation
bin1101000100110…
…10000110000000
321122101110220000
412202122012000
5211034324242
614514520000
72501201502
oct642320600
9248343800
10109683072
1156a05574
1230896000
1319954035
14107d1d72
159968a4c
hex689a180

109683072 has 160 divisors (see below), whose sum is σ = 333234000. Its totient is φ = 35804160.

The previous prime is 109683043. The next prime is 109683073. The reversal of 109683072 is 270386901.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109683073) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 736054 + ... + 736202.

Almost surely, 2109683072 is an apocalyptic number.

109683072 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 109683072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166617000).

109683072 is an abundant number, since it is smaller than the sum of its proper divisors (223550928).

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

109683072 is an equidigital number, since it uses as much as digits as its factorization.

109683072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 109683072 is about 10472.9686335824. The cubic root of 109683072 is about 478.6813809081.

The spelling of 109683072 in words is "one hundred nine million, six hundred eighty-three thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 71 72 81 96 108 128 142 144 149 162 192 213 216 284 288 298 324 384 426 432 447 568 576 596 639 648 852 864 894 1136 1152 1192 1278 1296 1341 1704 1728 1788 1917 2272 2384 2556 2592 2682 3408 3456 3576 3834 4023 4544 4768 5112 5184 5364 5751 6816 7152 7668 8046 9088 9536 10224 10368 10579 10728 11502 12069 13632 14304 15336 16092 19072 20448 21158 21456 23004 24138 27264 28608 30672 31737 32184 40896 42316 42912 46008 48276 57216 61344 63474 64368 81792 84632 85824 92016 95211 96552 122688 126948 128736 169264 171648 184032 190422 193104 245376 253896 257472 285633 338528 368064 380844 386208 507792 514944 571266 677056 736128 761688 772416 856899 1015584 1142532 1354112 1523376 1544832 1713798 2031168 2285064 3046752 3427596 4062336 4570128 6093504 6855192 9140256 12187008 13710384 18280512 27420768 36561024 54841536 109683072