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1068180 = 223519937
BaseRepresentation
bin100000100110010010100
32000021021020
410010302110
5233140210
634521140
712036141
oct4046224
92007236
101068180
1166a5a3
124361b0
132b5279
141db3c8
15161770
hex104c94

1068180 has 48 divisors (see below), whose sum is σ = 3151680. Its totient is φ = 269568.

The previous prime is 1068149. The next prime is 1068191. The reversal of 1068180 is 818601.

1068180 = T195 + T196 + ... + T239.

It is a super-2 number, since 2×10681802 = 2282017024800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1068180.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 672 + ... + 1608.

It is an arithmetic number, because the mean of its divisors is an integer number (65660).

21068180 is an apocalyptic number.

1068180 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 1068180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1575840).

1068180 is an abundant number, since it is smaller than the sum of its proper divisors (2083500).

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

1068180 is a wasteful number, since it uses less digits than its factorization.

1068180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 968 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

The square root of 1068180 is about 1033.5279386645. The cubic root of 1068180 is about 102.2228882194. Note that the first 3 decimals are identical.

The spelling of 1068180 in words is "one million, sixty-eight thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 937 1140 1874 2811 3748 4685 5622 9370 11244 14055 17803 18740 28110 35606 53409 56220 71212 89015 106818 178030 213636 267045 356060 534090 1068180