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10852290 = 23251741173
BaseRepresentation
bin101001011001…
…011111000010
3202102100112200
4221121133002
510234233130
61024334030
7161146221
oct51313702
922370480
1010852290
116142539
123774316
13232c797
141626cb8
15e45760
hexa597c2

10852290 has 96 divisors (see below), whose sum is σ = 30781296. Its totient is φ = 2641920.

The previous prime is 10852271. The next prime is 10852291. The reversal of 10852290 is 9225801.

10852290 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 5803281 + 5049009 = 2409^2 + 2247^2 .

It is not an unprimeable number, because it can be changed into a prime (10852291) 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, 62644 + ... + 62816.

Almost surely, 210852290 is an apocalyptic number.

10852290 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 10852290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15390648).

10852290 is an abundant number, since it is smaller than the sum of its proper divisors (19929006).

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

10852290 is a wasteful number, since it uses less digits than its factorization.

10852290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 10852290 is about 3294.2814087446. The cubic root of 10852290 is about 221.3980527782.

It can be divided in two parts, 1085 and 2290, that added together give a cube (3375 = 153).

The spelling of 10852290 in words is "ten million, eight hundred fifty-two thousand, two hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 41 45 51 82 85 90 102 123 153 170 173 205 246 255 306 346 369 410 510 519 615 697 738 765 865 1038 1230 1394 1530 1557 1730 1845 2091 2595 2941 3114 3485 3690 4182 5190 5882 6273 6970 7093 7785 8823 10455 12546 14186 14705 15570 17646 20910 21279 26469 29410 31365 35465 42558 44115 52938 62730 63837 70930 88230 106395 120581 127674 132345 212790 241162 264690 319185 361743 602905 638370 723486 1085229 1205810 1808715 2170458 3617430 5426145 10852290