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103240800 = 253252131103
BaseRepresentation
bin1100010011101…
…01010001100000
321012021011202100
412021311101200
5202412201200
614124450400
72362350405
oct611652140
9235234670
10103240800
1153305383
122a6a9a00
1318509940
14d9d62ac
1590e4d00
hex6275460

103240800 has 216 divisors, whose sum is σ = 392412384. Its totient is φ = 25390080.

The previous prime is 103240793. The next prime is 103240843. The reversal of 103240800 is 8042301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 35 ways as a sum of consecutive naturals, for example, 93049 + ... + 94151.

It is an arithmetic number, because the mean of its divisors is an integer number (1816724).

Almost surely, 2103240800 is an apocalyptic number.

103240800 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 103240800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196206192).

103240800 is an abundant number, since it is smaller than the sum of its proper divisors (289171584).

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

103240800 is a wasteful number, since it uses less digits than its factorization.

103240800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1142 (or 1126 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 103240800 is about 10160.7480039611. The cubic root of 103240800 is about 469.1198254787.

The spelling of 103240800 in words is "one hundred three million, two hundred forty thousand, eight hundred".