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89103200 = 2552127877
BaseRepresentation
bin1010100111110…
…01101101100000
320012122220121112
411103321231200
5140302300300
612501442452
72131236044
oct523715540
9205586545
1089103200
114632960a
1225a10428
13155c99b4
14bb96024
157c50e35
hex54f9b60

89103200 has 72 divisors (see below), whose sum is σ = 219485952. Its totient is φ = 35320320.

The previous prime is 89103169. The next prime is 89103221. The reversal of 89103200 is 230198.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 101162 + ... + 102038.

It is an arithmetic number, because the mean of its divisors is an integer number (3048416).

Almost surely, 289103200 is an apocalyptic number.

89103200 is a gapful number since it is divisible by the number (80) 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 89103200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109742976).

89103200 is an abundant number, since it is smaller than the sum of its proper divisors (130382752).

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

89103200 is a wasteful number, since it uses less digits than its factorization.

89103200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1024 (or 1011 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 89103200 is about 9439.4491364698. The cubic root of 89103200 is about 446.6470128230.

Adding to 89103200 its reverse (230198), we get a palindrome (89333398).

The spelling of 89103200 in words is "eighty-nine million, one hundred three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 127 160 200 254 400 508 635 800 877 1016 1270 1754 2032 2540 3175 3508 4064 4385 5080 6350 7016 8770 10160 12700 14032 17540 20320 21925 25400 28064 35080 43850 50800 70160 87700 101600 111379 140320 175400 222758 350800 445516 556895 701600 891032 1113790 1782064 2227580 2784475 3564128 4455160 5568950 8910320 11137900 17820640 22275800 44551600 89103200