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109206816 = 25311310067
BaseRepresentation
bin1101000001001…
…01110100100000
321121111021120220
412200211310200
5210424104231
614500403040
72464146135
oct640456440
9247437526
10109206816
115670a774
12306a6480
1319818324
141070a58c
1598c2896
hex6825d20

109206816 has 48 divisors (see below), whose sum is σ = 289233504. Its totient is φ = 36076544.

The previous prime is 109206787. The next prime is 109206841. The reversal of 109206816 is 618602901.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×1092068162 = 23852257321715712, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5815 + ... + 15881.

It is an arithmetic number, because the mean of its divisors is an integer number (6025698).

Almost surely, 2109206816 is an apocalyptic number.

109206816 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 109206816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144616752).

109206816 is an abundant number, since it is smaller than the sum of its proper divisors (180026688).

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

109206816 is a wasteful number, since it uses less digits than its factorization.

109206816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10193 (or 10185 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 109206816 is about 10450.2065051366. The cubic root of 109206816 is about 477.9875465789.

The spelling of 109206816 in words is "one hundred nine million, two hundred six thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 113 226 339 452 678 904 1356 1808 2712 3616 5424 10067 10848 20134 30201 40268 60402 80536 120804 161072 241608 322144 483216 966432 1137571 2275142 3412713 4550284 6825426 9100568 13650852 18201136 27301704 36402272 54603408 109206816