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1068900 = 223527509
BaseRepresentation
bin100000100111101100100
32000022020220
410010331210
5233201100
634524340
712041220
oct4047544
92008226
101068900
11670098
124366b0
132b56b1
141db780
15161aa0
hex104f64

1068900 has 72 divisors (see below), whose sum is σ = 3541440. Its totient is φ = 243840.

The previous prime is 1068889. The next prime is 1068901. The reversal of 1068900 is 98601.

It is a super-2 number, since 2×10689002 = 2285094420000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1068901) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1846 + ... + 2354.

21068900 is an apocalyptic number.

1068900 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 1068900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1770720).

1068900 is an abundant number, since it is smaller than the sum of its proper divisors (2472540).

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

1068900 is a wasteful number, since it uses less digits than its factorization.

1068900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 1068900 is about 1033.8762014864. The cubic root of 1068900 is about 102.2458506256.

Subtracting from 1068900 its reverse (98601), we obtain a cube (970299 = 993).

The spelling of 1068900 in words is "one million, sixty-eight thousand, nine hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 509 525 700 1018 1050 1527 2036 2100 2545 3054 3563 5090 6108 7126 7635 10180 10689 12725 14252 15270 17815 21378 25450 30540 35630 38175 42756 50900 53445 71260 76350 89075 106890 152700 178150 213780 267225 356300 534450 1068900