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1068100 = 225211971
BaseRepresentation
bin100000100110001000100
32000021011021
410010301010
5233134400
634520524
712035665
oct4046104
92007137
101068100
1166a530
12436144
132b5217
141db36c
1516171a
hex104c44

1068100 has 36 divisors (see below), whose sum is σ = 2531088. Its totient is φ = 388000.

The previous prime is 1068083. The next prime is 1068101. The reversal of 1068100 is 18601.

It is a super-2 number, since 2×10681002 = 2281675220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1068101) 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, 615 + ... + 1585.

It is an arithmetic number, because the mean of its divisors is an integer number (70308).

21068100 is an apocalyptic number.

1068100 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 1068100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1265544).

1068100 is an abundant number, since it is smaller than the sum of its proper divisors (1462988).

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

1068100 is a wasteful number, since it uses less digits than its factorization.

1068100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 996 (or 989 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 1068100 is about 1033.4892355511. The cubic root of 1068100 is about 102.2203362041.

The spelling of 1068100 in words is "one million, sixty-eight thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 971 1100 1942 3884 4855 9710 10681 19420 21362 24275 42724 48550 53405 97100 106810 213620 267025 534050 1068100