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896283120 = 243567139401
BaseRepresentation
bin110101011011000…
…011000111110000
32022110111220022010
4311123003013300
53313422024440
6224534242520
731132165215
oct6533030760
92273456263
10896283120
1141aa23857
122101b6440
131138c4955
148706db0c
1553a45580
hex356c31f0

896283120 has 160 divisors (see below), whose sum is σ = 2847317760. Its totient is φ = 233164800.

The previous prime is 896283107. The next prime is 896283137. The reversal of 896283120 is 21382698.

It is a happy number.

896283120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2234920 + ... + 2235320.

It is an arithmetic number, because the mean of its divisors is an integer number (17795736).

Almost surely, 2896283120 is an apocalyptic number.

896283120 is a gapful number since it is divisible by the number (80) 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 896283120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1423658880).

896283120 is an abundant number, since it is smaller than the sum of its proper divisors (1951034640).

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

896283120 is a wasteful number, since it uses less digits than its factorization.

896283120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 896283120 is about 29937.9879083415. The cubic root of 896283120 is about 964.1584365658.

The spelling of 896283120 in words is "eight hundred ninety-six million, two hundred eighty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 67 80 120 134 139 201 240 268 278 335 401 402 417 536 556 670 695 802 804 834 1005 1072 1112 1203 1340 1390 1604 1608 1668 2005 2010 2085 2224 2406 2680 2780 3208 3216 3336 4010 4020 4170 4812 5360 5560 6015 6416 6672 8020 8040 8340 9313 9624 11120 12030 16040 16080 16680 18626 19248 24060 26867 27939 32080 33360 37252 46565 48120 53734 55739 55878 74504 80601 93130 96240 107468 111478 111756 134335 139695 149008 161202 167217 186260 214936 222956 223512 268670 278695 279390 322404 334434 372520 403005 429872 445912 447024 537340 557390 558780 644808 668868 745040 806010 836085 891824 1074680 1114780 1117560 1289616 1337736 1612020 1672170 2149360 2229560 2235120 2675472 3224040 3344340 3734513 4459120 6448080 6688680 7469026 11203539 13377360 14938052 18672565 22407078 29876104 37345130 44814156 56017695 59752208 74690260 89628312 112035390 149380520 179256624 224070780 298761040 448141560 896283120