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1148200 = 23525741
BaseRepresentation
bin100011000010100101000
32011100000221
410120110220
5243220300
640335424
712521344
oct4302450
92140027
101148200
11714729
12474574
13312811
1421c624
1517a31a
hex118528

1148200 has 24 divisors (see below), whose sum is σ = 2670030. Its totient is φ = 459200.

The previous prime is 1148177. The next prime is 1148219. The reversal of 1148200 is 28411.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 850084 + 298116 = 922^2 + 546^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2671 + ... + 3070.

21148200 is an apocalyptic number.

1148200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1148200 is an abundant number, since it is smaller than the sum of its proper divisors (1521830).

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

1148200 is a wasteful number, since it uses less digits than its factorization.

1148200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5757 (or 5748 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 1148200 is about 1071.5409464878. The cubic root of 1148200 is about 104.7142647094.

The spelling of 1148200 in words is "one million, one hundred forty-eight thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 5741 11482 22964 28705 45928 57410 114820 143525 229640 287050 574100 1148200