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109393104 = 2432989883
BaseRepresentation
bin1101000010100…
…11010011010000
321121211202010110
412201103103100
5211001034404
614504401320
72465553222
oct641232320
9247752113
10109393104
1156827727
1230776240
1319882062
1410758412
15990cb89
hex68534d0

109393104 has 80 divisors (see below), whose sum is σ = 295963200. Its totient is φ = 34771968.

The previous prime is 109393103. The next prime is 109393121. The reversal of 109393104 is 401393901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109393103) 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 15 ways as a sum of consecutive naturals, for example, 123447 + ... + 124329.

It is an arithmetic number, because the mean of its divisors is an integer number (3699540).

Almost surely, 2109393104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109393104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147981600).

109393104 is an abundant number, since it is smaller than the sum of its proper divisors (186570096).

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

109393104 is a wasteful number, since it uses less digits than its factorization.

109393104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012 (or 1006 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 30.

The square root of 109393104 is about 10459.1158326122. The cubic root of 109393104 is about 478.2591802992.

The spelling of 109393104 in words is "one hundred nine million, three hundred ninety-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 89 116 174 178 232 267 348 356 464 534 696 712 883 1068 1392 1424 1766 2136 2581 2649 3532 4272 5162 5298 7064 7743 10324 10596 14128 15486 20648 21192 25607 30972 41296 42384 51214 61944 76821 78587 102428 123888 153642 157174 204856 235761 307284 314348 409712 471522 614568 628696 943044 1229136 1257392 1886088 2279023 3772176 4558046 6837069 9116092 13674138 18232184 27348276 36464368 54696552 109393104