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108262016 = 271734889
BaseRepresentation
bin1100111001111…
…11001010000000
321112201021120022
412130333022000
5210203341031
614424233012
72453132462
oct634771200
9245637508
10108262016
1156124945
123030b768
1319577285
1410542132
15978797b
hex673f280

108262016 has 32 divisors (see below), whose sum is σ = 216969300. Its totient is φ = 53807104.

The previous prime is 108261997. The next prime is 108262027. The reversal of 108262016 is 610262801.

It can be written as a sum of positive squares in 2 ways, for example, as 96040000 + 12222016 = 9800^2 + 3496^2 .

It is a tau number, because it is divible by the number of its divisors (32).

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 3 ways as a sum of consecutive naturals, for example, 19700 + ... + 24588.

Almost surely, 2108262016 is an apocalyptic number.

108262016 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 108262016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108484650).

108262016 is an abundant number, since it is smaller than the sum of its proper divisors (108707284).

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

108262016 is an equidigital number, since it uses as much as digits as its factorization.

108262016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5076 (or 5064 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 108262016 is about 10404.9034594272. The cubic root of 108262016 is about 476.6051198239.

The spelling of 108262016 in words is "one hundred eight million, two hundred sixty-two thousand, sixteen".

Divisors: 1 2 4 8 16 32 64 128 173 346 692 1384 2768 4889 5536 9778 11072 19556 22144 39112 78224 156448 312896 625792 845797 1691594 3383188 6766376 13532752 27065504 54131008 108262016