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108428320 = 25571113677
BaseRepresentation
bin1100111011001…
…11110000100000
321120000201200201
412131213300200
5210224201240
614431554544
72454424360
oct635476040
9246021621
10108428320
1156228890
123038ba54
1319604b90
14105869a0
1597bbd9a
hex6767c20

108428320 has 192 divisors, whose sum is σ = 344445696. Its totient is φ = 31150080.

The previous prime is 108428317. The next prime is 108428321. The reversal of 108428320 is 23824801.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (108428321) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 159822 + ... + 160498.

It is an arithmetic number, because the mean of its divisors is an integer number (1793988).

Almost surely, 2108428320 is an apocalyptic number.

108428320 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 108428320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172222848).

108428320 is an abundant number, since it is smaller than the sum of its proper divisors (236017376).

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

108428320 is a wasteful number, since it uses less digits than its factorization.

108428320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 108428320 is about 10412.8920094275. The cubic root of 108428320 is about 476.8490366665.

The spelling of 108428320 in words is "one hundred eight million, four hundred twenty-eight thousand, three hundred twenty".