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109035927 = 32731113219
BaseRepresentation
bin1100111111111…
…00000110010111
321121011121011200
412133330012113
5210403122202
614453003543
72462535000
oct637740627
9247147150
10109035927
1156603340
12306235b3
1319788600
14106a41a7
15988be1c
hex67fc197

109035927 has 144 divisors (see below), whose sum is σ = 228384000. Its totient is φ = 49533120.

The previous prime is 109035923. The next prime is 109035931. The reversal of 109035927 is 729530901.

It is an interprime number because it is at equal distance from previous prime (109035923) and next prime (109035931).

It is not a de Polignac number, because 109035927 - 22 = 109035923 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 109035891 and 109035900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109035923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5738724 + ... + 5738742.

It is an arithmetic number, because the mean of its divisors is an integer number (1586000).

Almost surely, 2109035927 is an apocalyptic number.

109035927 is an abundant number, since it is smaller than the sum of its proper divisors (119348073).

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

109035927 is a wasteful number, since it uses less digits than its factorization.

109035927 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The square root of 109035927 is about 10442.0269584023. The cubic root of 109035927 is about 477.7380949414.

The spelling of 109035927 in words is "one hundred nine million, thirty-five thousand, nine hundred twenty-seven".

Divisors: 1 3 7 9 11 13 19 21 33 39 49 57 63 77 91 99 117 133 143 147 169 171 209 231 247 273 343 399 429 441 507 539 627 637 693 741 819 931 1001 1029 1183 1197 1287 1463 1521 1617 1729 1859 1881 1911 2223 2717 2793 3003 3087 3211 3549 3773 4389 4459 4851 5187 5577 5733 6517 7007 8151 8281 8379 9009 9633 10241 10647 11319 12103 13013 13167 13377 15561 16731 19019 19551 21021 22477 24453 24843 28899 30723 33957 35321 36309 39039 40131 49049 57057 57967 58653 63063 67431 71687 74529 84721 91091 92169 105963 108927 117117 133133 147147 157339 171171 173901 202293 215061 247247 254163 273273 317889 399399 441441 472017 521703 637637 645183 741741 762489 819819 931931 1101373 1198197 1416051 1730729 1912911 2225223 2795793 3304119 5192187 5738733 8387379 9912357 12115103 15576561 36345309 109035927