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106896336 = 2435342019
BaseRepresentation
bin1100101111100…
…01101111010000
321110010220012120
412113301233100
5204331140321
614335054240
72435414061
oct627615720
9243126176
10106896336
1155381888
122b971380
13191b9791
14102a8568
1595b7ec6
hex65f1bd0

106896336 has 40 divisors (see below), whose sum is σ = 281365920. Its totient is φ = 34958976.

The previous prime is 106896329. The next prime is 106896359. The reversal of 106896336 is 633698601.

It is a super-2 number, since 2×1068963362 = 22853653300449792, which contains 22 as substring.

It is a congruent number.

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, 18466 + ... + 23553.

It is an arithmetic number, because the mean of its divisors is an integer number (7034148).

Almost surely, 2106896336 is an apocalyptic number.

106896336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106896336 is an abundant number, since it is smaller than the sum of its proper divisors (174469584).

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

106896336 is a wasteful number, since it uses less digits than its factorization.

106896336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42083 (or 42077 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The square root of 106896336 is about 10339.0684299892. The cubic root of 106896336 is about 474.5925754757.

The spelling of 106896336 in words is "one hundred six million, eight hundred ninety-six thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 53 106 159 212 318 424 636 848 1272 2544 42019 84038 126057 168076 252114 336152 504228 672304 1008456 2016912 2227007 4454014 6681021 8908028 13362042 17816056 26724084 35632112 53448168 106896336