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10869696 = 2632113167
BaseRepresentation
bin101001011101…
…101111000000
3202110020102100
4221131233000
510240312241
61024550400
7161251035
oct51355700
922406370
1010869696
116154622
123782400
132337696
14162d38c
15e4a9b6
hexa5dbc0

10869696 has 84 divisors (see below), whose sum is σ = 31619952. Its totient is φ = 3569664.

The previous prime is 10869667. The next prime is 10869697. The reversal of 10869696 is 69696801.

10869696 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×108696962 = 236300582264832, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10869697) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65005 + ... + 65171.

It is an arithmetic number, because the mean of its divisors is an integer number (376428).

Almost surely, 210869696 is an apocalyptic number.

10869696 is a gapful number since it is divisible by the number (16) 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 10869696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15809976).

10869696 is an abundant number, since it is smaller than the sum of its proper divisors (20750256).

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

10869696 is a wasteful number, since it uses less digits than its factorization.

10869696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 10869696 is about 3296.9222010839. The cubic root of 10869696 is about 221.5163564127.

The spelling of 10869696 in words is "ten million, eight hundred sixty-nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 113 144 167 192 226 288 334 339 452 501 576 668 678 904 1002 1017 1336 1356 1503 1808 2004 2034 2672 2712 3006 3616 4008 4068 5344 5424 6012 7232 8016 8136 10688 10848 12024 16032 16272 18871 21696 24048 32064 32544 37742 48096 56613 65088 75484 96192 113226 150968 169839 226452 301936 339678 452904 603872 679356 905808 1207744 1358712 1811616 2717424 3623232 5434848 10869696