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10386090 = 23351113269
BaseRepresentation
bin100111100111…
…101010101010
3201112200001000
4213213222222
510124323330
61010335430
7154165101
oct47475252
921480030
1010386090
115954250
12358a576
1321c8520
141545038
15da2560
hex9e7aaa

10386090 has 128 divisors (see below), whose sum is σ = 32659200. Its totient is φ = 2315520.

The previous prime is 10386083. The next prime is 10386097. The reversal of 10386090 is 9068301.

It is an interprime number because it is at equal distance from previous prime (10386083) and next prime (10386097).

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 (10386097) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38476 + ... + 38744.

It is an arithmetic number, because the mean of its divisors is an integer number (255150).

Almost surely, 210386090 is an apocalyptic number.

10386090 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 10386090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16329600).

10386090 is an abundant number, since it is smaller than the sum of its proper divisors (22273110).

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

10386090 is a wasteful number, since it uses less digits than its factorization.

10386090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 10386090 is about 3222.7457237579. The cubic root of 10386090 is about 218.1812173279.

The spelling of 10386090 in words is "ten million, three hundred eighty-six thousand, ninety".

Divisors: 1 2 3 5 6 9 10 11 13 15 18 22 26 27 30 33 39 45 54 55 65 66 78 90 99 110 117 130 135 143 165 195 198 234 269 270 286 297 330 351 390 429 495 538 585 594 702 715 807 858 990 1170 1287 1345 1430 1485 1614 1755 2145 2421 2574 2690 2959 2970 3497 3510 3861 4035 4290 4842 5918 6435 6994 7263 7722 8070 8877 10491 12105 12870 14526 14795 17485 17754 19305 20982 24210 26631 29590 31473 34970 36315 38467 38610 44385 52455 53262 62946 72630 76934 79893 88770 94419 104910 115401 133155 157365 159786 188838 192335 230802 266310 314730 346203 384670 399465 472095 577005 692406 798930 944190 1038609 1154010 1731015 2077218 3462030 5193045 10386090