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1068320 = 25511607
BaseRepresentation
bin100000100110100100000
32000021110102
410010310200
5233141240
634521532
712036431
oct4046440
92007412
101068320
1166a710
124362a8
132b5356
141db488
15161815
hex104d20

1068320 has 48 divisors (see below), whose sum is σ = 2757888. Its totient is φ = 387840.

The previous prime is 1068311. The next prime is 1068323. The reversal of 1068320 is 238601.

It is a super-2 number, since 2×10683202 = 2282615244800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1068292 and 1068301.

It is not an unprimeable number, because it can be changed into a prime (1068323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1457 + ... + 2063.

It is an arithmetic number, because the mean of its divisors is an integer number (57456).

21068320 is an apocalyptic number.

1068320 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 1068320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1378944).

1068320 is an abundant number, since it is smaller than the sum of its proper divisors (1689568).

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

1068320 is a wasteful number, since it uses less digits than its factorization.

1068320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 1068320 is about 1033.5956656256. The cubic root of 1068320 is about 102.2273539397.

The spelling of 1068320 in words is "one million, sixty-eight thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 607 880 1214 1760 2428 3035 4856 6070 6677 9712 12140 13354 19424 24280 26708 33385 48560 53416 66770 97120 106832 133540 213664 267080 534160 1068320