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109162728 = 23342937157
BaseRepresentation
bin1101000000110…
…11000011101000
321121102001010000
412200123003220
5210421201403
614455423000
72463603453
oct640330350
9247361100
10109162728
115668a634
1230684a60
131980123c
14106d849a
1598b47a3
hex681b0e8

109162728 has 160 divisors (see below), whose sum is σ = 326917800. Its totient is φ = 33965568.

The previous prime is 109162727. The next prime is 109162741. The reversal of 109162728 is 827261901.

109162728 is a `hidden beast` number, since 1 + 0 + 9 + 1 + 627 + 28 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 101969604 + 7193124 = 10098^2 + 2682^2 .

It is a super-3 number, since 3×1091627283 (a number of 25 digits) contains 333 as substring.

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 = 109162692 and 109162701.

It is not an unprimeable number, because it can be changed into a prime (109162721) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 695226 + ... + 695382.

Almost surely, 2109162728 is an apocalyptic number.

109162728 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 109162728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163458900).

109162728 is an abundant number, since it is smaller than the sum of its proper divisors (217755072).

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

109162728 is a wasteful number, since it uses less digits than its factorization.

109162728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 109162728 is about 10448.0968601942. The cubic root of 109162728 is about 477.9232149672.

The spelling of 109162728 in words is "one hundred nine million, one hundred sixty-two thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 37 54 58 72 74 81 87 108 111 116 148 157 162 174 216 222 232 261 296 314 324 333 348 444 471 522 628 648 666 696 783 888 942 999 1044 1073 1256 1332 1413 1566 1884 1998 2088 2146 2349 2664 2826 2997 3132 3219 3768 3996 4239 4292 4553 4698 5652 5809 5994 6264 6438 7992 8478 8584 9106 9396 9657 11304 11618 11988 12717 12876 13659 16956 17427 18212 18792 19314 23236 23976 25434 25752 27318 28971 33912 34854 36424 38628 40977 46472 50868 52281 54636 57942 69708 77256 81954 86913 101736 104562 109272 115884 122931 139416 156843 163908 168461 173826 209124 231768 245862 313686 327816 336922 347652 368793 418248 470529 491724 505383 627372 673844 695304 737586 941058 983448 1010766 1254744 1347688 1475172 1516149 1882116 2021532 2950344 3032298 3764232 4043064 4548447 6064596 9096894 12129192 13645341 18193788 27290682 36387576 54581364 109162728