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103084928 = 271137127
BaseRepresentation
bin1100010010011…
…11001110000000
321011222020221022
412021033032000
5202342204203
614121245012
72361131102
oct611171600
9234866838
10103084928
1153209261
122a633768
13184839cb
14d995572
1590b3a38
hex624f380

103084928 has 32 divisors (see below), whose sum is σ = 207210960. Its totient is φ = 51079168.

The previous prime is 103084909. The next prime is 103084931. The reversal of 103084928 is 829480301.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

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, 10901 + ... + 18027.

Almost surely, 2103084928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103084928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103605480).

103084928 is an abundant number, since it is smaller than the sum of its proper divisors (104126032).

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

103084928 is an equidigital number, since it uses as much as digits as its factorization.

103084928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7254 (or 7242 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 103084928 is about 10153.0748052006. The cubic root of 103084928 is about 468.8836156460.

It can be divided in two parts, 1030 and 84928, that added together give a palindrome (85958).

The spelling of 103084928 in words is "one hundred three million, eighty-four thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 16 32 64 113 128 226 452 904 1808 3616 7127 7232 14254 14464 28508 57016 114032 228064 456128 805351 912256 1610702 3221404 6442808 12885616 25771232 51542464 103084928