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1063400 = 235213409
BaseRepresentation
bin100000011100111101000
32000000201012
410003213220
5233012100
634443052
712016202
oct4034750
92000635
101063400
11666a48
12433488
132b3040
141d9772
15160135
hex1039e8

1063400 has 48 divisors (see below), whose sum is σ = 2669100. Its totient is φ = 391680.

The previous prime is 1063399. The next prime is 1063409. The reversal of 1063400 is 43601.

It can be written as a sum of positive squares in 6 ways, for example, as 432964 + 630436 = 658^2 + 794^2 .

It is a super-2 number, since 2×10634002 = 2261639120000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1063409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2396 + ... + 2804.

21063400 is an apocalyptic number.

1063400 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 1063400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1334550).

1063400 is an abundant number, since it is smaller than the sum of its proper divisors (1605700).

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

1063400 is a wasteful number, since it uses less digits than its factorization.

1063400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 1063400 is about 1031.2128781197. The cubic root of 1063400 is about 102.0701810998.

The spelling of 1063400 in words is "one million, sixty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 409 520 650 818 1300 1636 2045 2600 3272 4090 5317 8180 10225 10634 16360 20450 21268 26585 40900 42536 53170 81800 106340 132925 212680 265850 531700 1063400