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10683890 = 2571929277
BaseRepresentation
bin101000110000…
…010111110010
3202002210112122
4220300113302
510213341030
61020554242
7156545240
oct50602762
922083478
1010683890
116037a68
1236b2982
1322a0c39
1415c1790
15e108e5
hexa305f2

10683890 has 64 divisors (see below), whose sum is σ = 24019200. Its totient is φ = 3338496.

The previous prime is 10683889. The next prime is 10683917. The reversal of 10683890 is 9838601.

It is a super-2 number, since 2×106838902 = 228291011064200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10683890.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38432 + ... + 38708.

It is an arithmetic number, because the mean of its divisors is an integer number (375300).

Almost surely, 210683890 is an apocalyptic number.

10683890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10683890 is an abundant number, since it is smaller than the sum of its proper divisors (13335310).

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

10683890 is a wasteful number, since it uses less digits than its factorization.

10683890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339.

The product of its (nonzero) digits is 10368, while the sum is 35.

The square root of 10683890 is about 3268.6220338240. The cubic root of 10683890 is about 220.2468991177.

The spelling of 10683890 in words is "ten million, six hundred eighty-three thousand, eight hundred ninety".

Divisors: 1 2 5 7 10 14 19 29 35 38 58 70 95 133 145 190 203 266 277 290 406 551 554 665 1015 1102 1330 1385 1939 2030 2755 2770 3857 3878 5263 5510 7714 8033 9695 10526 16066 19285 19390 26315 36841 38570 40165 52630 56231 73682 80330 112462 152627 184205 281155 305254 368410 562310 763135 1068389 1526270 2136778 5341945 10683890