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103452768 = 2533119737
BaseRepresentation
bin1100010101010…
…01000001100000
321012122221112000
412022221001200
5202440442033
614133204000
72364222366
oct612510140
9235587460
10103452768
115343a661
122a790600
1318582273
14da4d636
159137a13
hex62a9060

103452768 has 48 divisors (see below), whose sum is σ = 301739760. Its totient is φ = 34483968.

The previous prime is 103452761. The next prime is 103452779. The reversal of 103452768 is 867254301.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103452761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59005 + ... + 60732.

It is an arithmetic number, because the mean of its divisors is an integer number (6286245).

Almost surely, 2103452768 is an apocalyptic number.

103452768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

103452768 is an abundant number, since it is smaller than the sum of its proper divisors (198286992).

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

103452768 is a wasteful number, since it uses less digits than its factorization.

103452768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119756 (or 119742 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 103452768 is about 10171.1733836367. The cubic root of 103452768 is about 469.4406625088.

The spelling of 103452768 in words is "one hundred three million, four hundred fifty-two thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 119737 239474 359211 478948 718422 957896 1077633 1436844 1915792 2155266 2873688 3232899 3831584 4310532 5747376 6465798 8621064 11494752 12931596 17242128 25863192 34484256 51726384 103452768