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1063680 = 2835277
BaseRepresentation
bin100000011101100000000
32000001002120
410003230000
5233014210
634444240
712020052
oct4035400
92001076
101063680
11667182
12433680
132b31c7
141d98d2
15160270
hex103b00

1063680 has 72 divisors (see below), whose sum is σ = 3409392. Its totient is φ = 282624.

The previous prime is 1063661. The next prime is 1063693. The reversal of 1063680 is 863601.

It is a super-2 number, since 2×10636802 = 2262830284800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1063680.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3702 + ... + 3978.

21063680 is an apocalyptic number.

1063680 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 1063680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1704696).

1063680 is an abundant number, since it is smaller than the sum of its proper divisors (2345712).

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

1063680 is an equidigital number, since it uses as much as digits as its factorization.

1063680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 1063680 is about 1031.3486316469. The cubic root of 1063680 is about 102.0791388901.

The spelling of 1063680 in words is "one million, sixty-three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 277 320 384 480 554 640 768 831 960 1108 1280 1385 1662 1920 2216 2770 3324 3840 4155 4432 5540 6648 8310 8864 11080 13296 16620 17728 22160 26592 33240 35456 44320 53184 66480 70912 88640 106368 132960 177280 212736 265920 354560 531840 1063680