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10085850 = 2335231241
BaseRepresentation
bin100110011110…
…010111011010
3200222102012000
4212132113122
510040221400
61000101430
7151504545
oct46362732
920872160
1010085850
115769715
123464876
132121978
1414a785c
15d43600
hex99e5da

10085850 has 96 divisors (see below), whose sum is σ = 28807680. Its totient is φ = 2592000.

The previous prime is 10085843. The next prime is 10085857. The reversal of 10085850 is 5858001.

It is an interprime number because it is at equal distance from previous prime (10085843) and next prime (10085857).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10085857) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41730 + ... + 41970.

It is an arithmetic number, because the mean of its divisors is an integer number (300080).

Almost surely, 210085850 is an apocalyptic number.

10085850 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10085850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14403840).

10085850 is an abundant number, since it is smaller than the sum of its proper divisors (18721830).

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

10085850 is a wasteful number, since it uses less digits than its factorization.

10085850 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

The square root of 10085850 is about 3175.8227280502. The cubic root of 10085850 is about 216.0582404679.

The spelling of 10085850 in words is "ten million, eighty-five thousand, eight hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 31 45 50 54 62 75 90 93 135 150 155 186 225 241 270 279 310 450 465 482 558 675 723 775 837 930 1205 1350 1395 1446 1550 1674 2169 2325 2410 2790 3615 4185 4338 4650 6025 6507 6975 7230 7471 8370 10845 12050 13014 13950 14942 18075 20925 21690 22413 32535 36150 37355 41850 44826 54225 65070 67239 74710 108450 112065 134478 162675 186775 201717 224130 325350 336195 373550 403434 560325 672390 1008585 1120650 1680975 2017170 3361950 5042925 10085850