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108820480 = 211510627
BaseRepresentation
bin1100111110001…
…11100000000000
321120202122122011
412133013200000
5210324223410
614444222304
72460646606
oct637074000
9246678564
10108820480
115647648a
123053a994
1319711522
1410649876
15984818a
hex67c7800

108820480 has 48 divisors (see below), whose sum is σ = 261129960. Its totient is φ = 43524096.

The previous prime is 108820471. The next prime is 108820483. The reversal of 108820480 is 84028801.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108820483) 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 3 ways as a sum of consecutive naturals, for example, 4927 + ... + 15553.

Almost surely, 2108820480 is an apocalyptic number.

108820480 is a gapful number since it is divisible by the number (10) 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 108820480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130564980).

108820480 is an abundant number, since it is smaller than the sum of its proper divisors (152309480).

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

108820480 is an equidigital number, since it uses as much as digits as its factorization.

108820480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10654 (or 10634 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 31.

The square root of 108820480 is about 10431.7055173159. The cubic root of 108820480 is about 477.4232289796.

The spelling of 108820480 in words is "one hundred eight million, eight hundred twenty thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2048 2560 5120 10240 10627 21254 42508 53135 85016 106270 170032 212540 340064 425080 680128 850160 1360256 1700320 2720512 3400640 5441024 6801280 10882048 13602560 21764096 27205120 54410240 108820480