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10206990 = 23251947127
BaseRepresentation
bin100110111011…
…111100001110
3201012120100200
4212323330032
510103110430
61002434330
7152520663
oct46737416
921176320
1010206990
115841732
1235029a6
132164b51
1414d9a6a
15d69460
hex9bbf0e

10206990 has 96 divisors (see below), whose sum is σ = 28753920. Its totient is φ = 2503872.

The previous prime is 10206983. The next prime is 10206997. The reversal of 10206990 is 9960201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10206983) and next prime (10206997).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10206997) 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, 80307 + ... + 80433.

It is an arithmetic number, because the mean of its divisors is an integer number (299520).

Almost surely, 210206990 is an apocalyptic number.

10206990 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 10206990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14376960).

10206990 is an abundant number, since it is smaller than the sum of its proper divisors (18546930).

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

10206990 is a wasteful number, since it uses less digits than its factorization.

10206990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 10206990 is about 3194.8380240632. The cubic root of 10206990 is about 216.9198171905.

The spelling of 10206990 in words is "ten million, two hundred six thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 47 57 90 94 95 114 127 141 171 190 235 254 282 285 342 381 423 470 570 635 705 762 846 855 893 1143 1270 1410 1710 1786 1905 2115 2286 2413 2679 3810 4230 4465 4826 5358 5715 5969 7239 8037 8930 11430 11938 12065 13395 14478 16074 17907 21717 24130 26790 29845 35814 36195 40185 43434 53721 59690 72390 80370 89535 107442 108585 113411 179070 217170 226822 268605 340233 537210 567055 680466 1020699 1134110 1701165 2041398 3402330 5103495 10206990