Search a number
-
+
10685568 = 27327827
BaseRepresentation
bin101000110000…
…110010000000
3202002212211210
4220300302000
510213414233
61021010120
7156553155
oct50606200
922085753
1010685568
116039253
1236b3940
1322a192a
1415c222c
15e11163
hexa30c80

10685568 has 32 divisors (see below), whose sum is σ = 28384560. Its totient is φ = 3561728.

The previous prime is 10685567. The next prime is 10685573. The reversal of 10685568 is 86558601.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×106855682 = 228362726965248, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10685567) 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 3 ways as a sum of consecutive naturals, for example, 13530 + ... + 14297.

Almost surely, 210685568 is an apocalyptic number.

It is an amenable number.

10685568 is an abundant number, since it is smaller than the sum of its proper divisors (17698992).

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

10685568 is an equidigital number, since it uses as much as digits as its factorization.

10685568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27844 (or 27832 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 39.

The square root of 10685568 is about 3268.8787068351. The cubic root of 10685568 is about 220.2584290926.

The spelling of 10685568 in words is "ten million, six hundred eighty-five thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 27827 55654 83481 111308 166962 222616 333924 445232 667848 890464 1335696 1780928 2671392 3561856 5342784 10685568