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10369890 = 2335193199
BaseRepresentation
bin100111100011…
…101101100010
3201111211211000
4213203231202
510123314030
61010132430
7154066626
oct47435542
921454730
1010369890
115943063
123581116
1321c103b
14153d186
15d9c860
hex9e3b62

10369890 has 64 divisors (see below), whose sum is σ = 27936000. Its totient is φ = 2737152.

The previous prime is 10369889. The next prime is 10369901. The reversal of 10369890 is 9896301.

It is a super-2 number, since 2×103698902 = 215069237224200, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52011 + ... + 52209.

It is an arithmetic number, because the mean of its divisors is an integer number (436500).

Almost surely, 210369890 is an apocalyptic number.

10369890 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 10369890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13968000).

10369890 is an abundant number, since it is smaller than the sum of its proper divisors (17566110).

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

10369890 is a wasteful number, since it uses less digits than its factorization.

10369890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 10369890 is about 3220.2313581480. The cubic root of 10369890 is about 218.0677201725.

The spelling of 10369890 in words is "ten million, three hundred sixty-nine thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 193 199 270 386 398 579 597 965 995 1158 1194 1737 1791 1930 1990 2895 2985 3474 3582 5211 5373 5790 5970 8685 8955 10422 10746 17370 17910 26055 26865 38407 52110 53730 76814 115221 192035 230442 345663 384070 576105 691326 1036989 1152210 1728315 2073978 3456630 5184945 10369890