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109416096 = 253514071
BaseRepresentation
bin1101000010110…
…00111010100000
321121212220200000
412201120322200
5211002303341
614505100000
72466010236
oct641307240
9247786600
10109416096
1156842a29
1230787600
131988c66a
1410762956
1599148b6
hex6858ea0

109416096 has 72 divisors (see below), whose sum is σ = 322699104. Its totient is φ = 36469440.

The previous prime is 109416091. The next prime is 109416103. The reversal of 109416096 is 690614901.

109416096 is a `hidden beast` number, since 1 + 0 + 9 + 41 + 609 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 109416096.

It is not an unprimeable number, because it can be changed into a prime (109416091) 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 11 ways as a sum of consecutive naturals, for example, 741 + ... + 14811.

It is an arithmetic number, because the mean of its divisors is an integer number (4481932).

Almost surely, 2109416096 is an apocalyptic number.

109416096 is a gapful number since it is divisible by the number (16) 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 109416096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161349552).

109416096 is an abundant number, since it is smaller than the sum of its proper divisors (213283008).

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

109416096 is an equidigital number, since it uses as much as digits as its factorization.

109416096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14096 (or 14076 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 109416096 is about 10460.2149117501. The cubic root of 109416096 is about 478.2926844367.

The spelling of 109416096 in words is "one hundred nine million, four hundred sixteen thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 864 972 1296 1944 2592 3888 7776 14071 28142 42213 56284 84426 112568 126639 168852 225136 253278 337704 379917 450272 506556 675408 759834 1013112 1139751 1350816 1519668 2026224 2279502 3039336 3419253 4052448 4559004 6078672 6838506 9118008 12157344 13677012 18236016 27354024 36472032 54708048 109416096