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102785856 = 263975519
BaseRepresentation
bin1100010000001…
…10001101000000
321011102001200120
412020012031000
5202303121411
614111020240
72355444135
oct610061500
9234361616
10102785856
1153024598
122a50a680
13183aa844
14d91858c
159055106
hex6206340

102785856 has 56 divisors (see below), whose sum is σ = 274807680. Its totient is φ = 33902592.

The previous prime is 102785849. The next prime is 102785897. The reversal of 102785856 is 658587201.

It is a congruent number.

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, 15865 + ... + 21383.

It is an arithmetic number, because the mean of its divisors is an integer number (4907280).

Almost surely, 2102785856 is an apocalyptic number.

102785856 is a gapful number since it is divisible by the number (16) 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 102785856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137403840).

102785856 is an abundant number, since it is smaller than the sum of its proper divisors (172021824).

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

102785856 is an equidigital number, since it uses as much as digits as its factorization.

102785856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5631 (or 5621 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 42.

The square root of 102785856 is about 10138.3359581344. The cubic root of 102785856 is about 468.4297316655.

The spelling of 102785856 in words is "one hundred two million, seven hundred eighty-five thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 97 192 194 291 388 582 776 1164 1552 2328 3104 4656 5519 6208 9312 11038 16557 18624 22076 33114 44152 66228 88304 132456 176608 264912 353216 529824 535343 1059648 1070686 1606029 2141372 3212058 4282744 6424116 8565488 12848232 17130976 25696464 34261952 51392928 102785856