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109341624 = 23372512593
BaseRepresentation
bin1101000010001…
…10101110111000
321121202010111210
412201012232320
5210442412444
614503323120
72465250150
oct641065670
9247663453
10109341624
11567a1a87
12307504a0
13198647b2
1410743760
1598ec7b9
hex6846bb8

109341624 has 64 divisors (see below), whose sum is σ = 313770240. Its totient is φ = 31104000.

The previous prime is 109341581. The next prime is 109341649. The reversal of 109341624 is 426143901.

It is a junction number, because it is equal to n+sod(n) for n = 109341591 and 109341600.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 40872 + ... + 43464.

It is an arithmetic number, because the mean of its divisors is an integer number (4902660).

Almost surely, 2109341624 is an apocalyptic number.

109341624 is a gapful number since it is divisible by the number (14) 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 109341624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156885120).

109341624 is an abundant number, since it is smaller than the sum of its proper divisors (204428616).

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

109341624 is a wasteful number, since it uses less digits than its factorization.

109341624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2860 (or 2856 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 109341624 is about 10456.6545319237. The cubic root of 109341624 is about 478.1841461796.

The spelling of 109341624 in words is "one hundred nine million, three hundred forty-one thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 251 502 753 1004 1506 1757 2008 2593 3012 3514 5186 5271 6024 7028 7779 10372 10542 14056 15558 18151 20744 21084 31116 36302 42168 54453 62232 72604 108906 145208 217812 435624 650843 1301686 1952529 2603372 3905058 4555901 5206744 7810116 9111802 13667703 15620232 18223604 27335406 36447208 54670812 109341624