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108224928 = 2532727669
BaseRepresentation
bin1100111001101…
…10000110100000
321112122101200200
412130312012200
5210201144203
614423345200
72452616400
oct634660640
9245571620
10108224928
11560a9a99
12302b2200
1319563426
1410532800
15977b9a3
hex67361a0

108224928 has 108 divisors (see below), whose sum is σ = 358058610. Its totient is φ = 30917376.

The previous prime is 108224923. The next prime is 108224929. The reversal of 108224928 is 829422801.

It can be written as a sum of positive squares in only one way, i.e., 66389904 + 41835024 = 8148^2 + 6468^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 108224892 and 108224901.

It is not an unprimeable number, because it can be changed into a prime (108224923) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 10278 + ... + 17946.

Almost surely, 2108224928 is an apocalyptic number.

108224928 is a gapful number since it is divisible by the number (18) 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 108224928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179029305).

108224928 is an abundant number, since it is smaller than the sum of its proper divisors (249833682).

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

108224928 is a wasteful number, since it uses less digits than its factorization.

108224928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7699 (or 7681 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 108224928 is about 10403.1210701404. The cubic root of 108224928 is about 476.5506890696.

The spelling of 108224928 in words is "one hundred eight million, two hundred twenty-four thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 72 84 96 98 112 126 144 147 168 196 224 252 288 294 336 392 441 504 588 672 784 882 1008 1176 1568 1764 2016 2352 3528 4704 7056 7669 14112 15338 23007 30676 46014 53683 61352 69021 92028 107366 122704 138042 161049 184056 214732 245408 276084 322098 368112 375781 429464 483147 552168 644196 736224 751562 858928 966294 1104336 1127343 1288392 1503124 1717856 1932588 2208672 2254686 2576784 3006248 3382029 3865176 4509372 5153568 6012496 6764058 7730352 9018744 12024992 13528116 15460704 18037488 27056232 36074976 54112464 108224928