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1061680 = 24523577
BaseRepresentation
bin100000011001100110000
31222221100111
410003030300
5232433210
634431104
712011164
oct4031460
91887314
101061680
11665724
12432494
132b2319
141d8ca4
1515e88a
hex103330

1061680 has 40 divisors (see below), whose sum is σ = 2580192. Its totient is φ = 405504.

The previous prime is 1061677. The next prime is 1061689. The reversal of 1061680 is 861601.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×10616802 = 2254328844800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1061689) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1552 + ... + 2128.

21061680 is an apocalyptic number.

1061680 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 1061680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1290096).

1061680 is an abundant number, since it is smaller than the sum of its proper divisors (1518512).

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

1061680 is a wasteful number, since it uses less digits than its factorization.

1061680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 1061680 is about 1030.3785712057. The cubic root of 1061680 is about 102.0151201474.

The spelling of 1061680 in words is "one million, sixty-one thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 368 460 577 920 1154 1840 2308 2885 4616 5770 9232 11540 13271 23080 26542 46160 53084 66355 106168 132710 212336 265420 530840 1061680