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1076320 = 2557312
BaseRepresentation
bin100000110110001100000
32000200102201
410012301200
5233420240
635022544
712101650
oct4066140
92020381
101076320
11675723
1243aa54
132b8b9b
14200360
15163d9a
hex106c60

1076320 has 72 divisors (see below), whose sum is σ = 3002832. Its totient is φ = 357120.

The previous prime is 1076303. The next prime is 1076323. The reversal of 1076320 is 236701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1076323) 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 11 ways as a sum of consecutive naturals, for example, 34705 + ... + 34735.

It is an arithmetic number, because the mean of its divisors is an integer number (41706).

21076320 is an apocalyptic number.

1076320 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 1076320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1501416).

1076320 is an abundant number, since it is smaller than the sum of its proper divisors (1926512).

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

1076320 is an equidigital number, since it uses as much as digits as its factorization.

1076320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 19.

The square root of 1076320 is about 1037.4584329023. The cubic root of 1076320 is about 102.4818924983.

The spelling of 1076320 in words is "one million, seventy-six thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 32 35 40 56 62 70 80 112 124 140 155 160 217 224 248 280 310 434 496 560 620 868 961 992 1085 1120 1240 1736 1922 2170 2480 3472 3844 4340 4805 4960 6727 6944 7688 8680 9610 13454 15376 17360 19220 26908 30752 33635 34720 38440 53816 67270 76880 107632 134540 153760 215264 269080 538160 1076320