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103963216 = 2471277309
BaseRepresentation
bin1100011001001…
…01101001010000
321020121212201111
412030211221100
5203103310331
614152143104
72401446520
oct614455120
9236555644
10103963216
1153759115
122a997a94
13187006c6
14db43680
1591d8db1
hex6325a50

103963216 has 40 divisors (see below), whose sum is σ = 232048640. Its totient is φ = 44198784.

The previous prime is 103963213. The next prime is 103963247. The reversal of 103963216 is 612369301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103963213) 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 7 ways as a sum of consecutive naturals, for example, 10570 + ... + 17878.

It is an arithmetic number, because the mean of its divisors is an integer number (5801216).

Almost surely, 2103963216 is an apocalyptic number.

103963216 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 103963216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116024320).

103963216 is an abundant number, since it is smaller than the sum of its proper divisors (128085424).

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

103963216 is a wasteful number, since it uses less digits than its factorization.

103963216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7451 (or 7445 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 31.

The square root of 103963216 is about 10196.2353837090. The cubic root of 103963216 is about 470.2114877401.

The spelling of 103963216 in words is "one hundred three million, nine hundred sixty-three thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 56 112 127 254 508 889 1016 1778 2032 3556 7112 7309 14224 14618 29236 51163 58472 102326 116944 204652 409304 818608 928243 1856486 3712972 6497701 7425944 12995402 14851888 25990804 51981608 103963216