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109114824 = 233713471063
BaseRepresentation
bin1101000000011…
…11010111001000
321121022121101210
412200033113020
5210413133244
614454413120
72463314010
oct640172710
9247277353
10109114824
1156657645
12306611a0
13197b54b0
14106c4c40
1598a54b9
hex680f5c8

109114824 has 128 divisors (see below), whose sum is σ = 343203840. Its totient is φ = 28138752.

The previous prime is 109114807. The next prime is 109114847. The reversal of 109114824 is 428411901.

It is a junction number, because it is equal to n+sod(n) for n = 109114791 and 109114800.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102117 + ... + 103179.

It is an arithmetic number, because the mean of its divisors is an integer number (2681280).

Almost surely, 2109114824 is an apocalyptic number.

109114824 is a gapful number since it is divisible by the number (14) 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 109114824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171601920).

109114824 is an abundant number, since it is smaller than the sum of its proper divisors (234089016).

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

109114824 is a wasteful number, since it uses less digits than its factorization.

109114824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1139 (or 1135 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 109114824 is about 10445.8041337180. The cubic root of 109114824 is about 477.8532955485.

The spelling of 109114824 in words is "one hundred nine million, one hundred fourteen thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 47 52 56 78 84 91 94 104 141 156 168 182 188 273 282 312 329 364 376 546 564 611 658 728 987 1063 1092 1128 1222 1316 1833 1974 2126 2184 2444 2632 3189 3666 3948 4252 4277 4888 6378 7332 7441 7896 8504 8554 12756 12831 13819 14664 14882 17108 22323 25512 25662 27638 29764 34216 41457 44646 49961 51324 55276 59528 82914 89292 96733 99922 102648 110552 149883 165828 178584 193466 199844 290199 299766 331656 349727 386932 399688 580398 599532 649493 699454 773864 1049181 1160796 1199064 1298986 1398908 1948479 2098362 2321592 2597972 2797816 3896958 4196724 4546451 5195944 7793916 8393448 9092902 13639353 15587832 18185804 27278706 36371608 54557412 109114824