Search a number
-
+
10526340 = 22351141389
BaseRepresentation
bin101000001001…
…111010000100
3201210210102110
4220021322010
510143320330
61013341020
7155321016
oct50117204
921723373
1010526340
115a3a660
123637770
132247306
1415801b6
15dcddb0
hexa09e84

10526340 has 96 divisors (see below), whose sum is σ = 33022080. Its totient is φ = 2483200.

The previous prime is 10526317. The next prime is 10526353. The reversal of 10526340 is 4362501.

It is a happy number.

It is a super-2 number, since 2×105263402 = 221607667591200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26866 + ... + 27254.

It is an arithmetic number, because the mean of its divisors is an integer number (343980).

Almost surely, 210526340 is an apocalyptic number.

10526340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10526340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16511040).

10526340 is an abundant number, since it is smaller than the sum of its proper divisors (22495740).

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

10526340 is a wasteful number, since it uses less digits than its factorization.

10526340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 10526340 is about 3244.4321537058. The cubic root of 10526340 is about 219.1589097060.

Adding to 10526340 its reverse (4362501), we get a palindrome (14888841).

The spelling of 10526340 in words is "ten million, five hundred twenty-six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 41 44 55 60 66 82 110 123 132 164 165 205 220 246 330 389 410 451 492 615 660 778 820 902 1167 1230 1353 1556 1804 1945 2255 2334 2460 2706 3890 4279 4510 4668 5412 5835 6765 7780 8558 9020 11670 12837 13530 15949 17116 21395 23340 25674 27060 31898 42790 47847 51348 63796 64185 79745 85580 95694 128370 159490 175439 191388 239235 256740 318980 350878 478470 526317 701756 877195 956940 1052634 1754390 2105268 2631585 3508780 5263170 10526340