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10523240 = 235731359
BaseRepresentation
bin101000001001…
…001001101000
3201210122011122
4220021021220
510143220430
61013314412
7155306000
oct50111150
921718148
1010523240
115a382a2
123635a08
132245a90
14157d000
15dccee5
hexa09268

10523240 has 128 divisors (see below), whose sum is σ = 30240000. Its totient is φ = 3273984.

The previous prime is 10523209. The next prime is 10523251. The reversal of 10523240 is 4232501.

It is a super-2 number, since 2×105232402 = 221477160195200, which contains 22 as substring.

It is a congruent number.

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, 178331 + ... + 178389.

It is an arithmetic number, because the mean of its divisors is an integer number (236250).

Almost surely, 210523240 is an apocalyptic number.

10523240 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 10523240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15120000).

10523240 is an abundant number, since it is smaller than the sum of its proper divisors (19716760).

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

10523240 is a wasteful number, since it uses less digits than its factorization.

10523240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 10523240 is about 3243.9543769911. The cubic root of 10523240 is about 219.1373935436.

Adding to 10523240 its reverse (4232501), we get a palindrome (14755741).

The spelling of 10523240 in words is "ten million, five hundred twenty-three thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 49 52 56 59 65 70 91 98 104 118 130 140 182 196 236 245 260 280 295 343 364 392 413 455 472 490 520 590 637 686 728 767 826 910 980 1180 1274 1372 1534 1652 1715 1820 1960 2065 2360 2548 2744 2891 3068 3185 3304 3430 3640 3835 4130 4459 5096 5369 5782 6136 6370 6860 7670 8260 8918 10738 11564 12740 13720 14455 15340 16520 17836 20237 21476 22295 23128 25480 26845 28910 30680 35672 37583 40474 42952 44590 53690 57820 75166 80948 89180 101185 107380 115640 150332 161896 178360 187915 202370 214760 263081 300664 375830 404740 526162 751660 809480 1052324 1315405 1503320 2104648 2630810 5261620 10523240