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1044100 = 225253197
BaseRepresentation
bin11111110111010000100
31222001020101
43332322010
5231402400
634213444
711606011
oct3767204
91861211
101044100
116534a2
12424284
132a7315
141d2708
1515956a
hexfee84

1044100 has 36 divisors (see below), whose sum is σ = 2320164. Its totient is φ = 407680.

The previous prime is 1044097. The next prime is 1044133. The reversal of 1044100 is 14401.

It can be written as a sum of positive squares in 6 ways, for example, as 87616 + 956484 = 296^2 + 978^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a nialpdrome in base 16.

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, 5202 + ... + 5398.

It is an arithmetic number, because the mean of its divisors is an integer number (64449).

21044100 is an apocalyptic number.

1044100 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 1044100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1160082).

1044100 is an abundant number, since it is smaller than the sum of its proper divisors (1276064).

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

1044100 is a wasteful number, since it uses less digits than its factorization.

1044100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 1044100 is about 1021.8121158021. The cubic root of 1044100 is about 101.4489053422.

Adding to 1044100 its reverse (14401), we get a palindrome (1058501).

The spelling of 1044100 in words is "one million, forty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 106 197 212 265 394 530 788 985 1060 1325 1970 2650 3940 4925 5300 9850 10441 19700 20882 41764 52205 104410 208820 261025 522050 1044100