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109305918 = 23237414003
BaseRepresentation
bin1101000001111…
…10000000111110
321121200022112100
412200332000332
5210440242133
614502445530
72465041101
oct640760076
9247608470
10109305918
1156778177
12307338a6
1319851477
1410734738
1598e1e13
hex683e03e

109305918 has 48 divisors (see below), whose sum is σ = 249224976. Its totient is φ = 34577280.

The previous prime is 109305883. The next prime is 109305919. The reversal of 109305918 is 819503901.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109305919) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25305 + ... + 29307.

It is an arithmetic number, because the mean of its divisors is an integer number (5192187).

Almost surely, 2109305918 is an apocalyptic number.

109305918 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 109305918, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124612488).

109305918 is an abundant number, since it is smaller than the sum of its proper divisors (139919058).

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

109305918 is a wasteful number, since it uses less digits than its factorization.

109305918 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4089 (or 4086 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

The square root of 109305918 is about 10454.9470586895. The cubic root of 109305918 is about 478.1320894502.

The spelling of 109305918 in words is "one hundred nine million, three hundred five thousand, nine hundred eighteen".

Divisors: 1 2 3 6 9 18 37 41 74 82 111 123 222 246 333 369 666 738 1517 3034 4003 4551 8006 9102 12009 13653 24018 27306 36027 72054 148111 164123 296222 328246 444333 492369 888666 984738 1332999 1477107 2665998 2954214 6072551 12145102 18217653 36435306 54652959 109305918