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10526868 = 2233118861
BaseRepresentation
bin101000001010…
…000010010100
3201210211011000
4220022002110
510143324433
61013343300
7155322402
oct50120224
921724130
1010526868
115a3aaa0
123637b30
132247621
141580472
15dce113
hexa0a094

10526868 has 48 divisors (see below), whose sum is σ = 29776320. Its totient is φ = 3189600.

The previous prime is 10526863. The next prime is 10526881. The reversal of 10526868 is 86862501.

It is a happy number.

It is a super-2 number, since 2×105268682 = 221629899778848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10526861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3243 + ... + 5618.

It is an arithmetic number, because the mean of its divisors is an integer number (620340).

Almost surely, 210526868 is an apocalyptic number.

10526868 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10526868 is an abundant number, since it is smaller than the sum of its proper divisors (19249452).

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

10526868 is a wasteful number, since it uses less digits than its factorization.

10526868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8885 (or 8877 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 10526868 is about 3244.5135228567. The cubic root of 10526868 is about 219.1625739733.

The spelling of 10526868 in words is "ten million, five hundred twenty-six thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188 8861 17722 26583 35444 53166 79749 97471 106332 159498 194942 239247 292413 318996 389884 478494 584826 877239 956988 1169652 1754478 2631717 3508956 5263434 10526868