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10680288 = 253111253
BaseRepresentation
bin101000101111…
…011111100000
3202002121121020
4220233133200
510213232123
61020525440
7156531603
oct50573740
922077536
1010680288
116035293
1236b0880
13229c3c8
1415c033a
15e0e7e3
hexa2f7e0

10680288 has 24 divisors (see below), whose sum is σ = 28036008. Its totient is φ = 3560064.

The previous prime is 10680283. The next prime is 10680311. The reversal of 10680288 is 88208601.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×106802882 = 228137103525888, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10680281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 55531 + ... + 55722.

It is an arithmetic number, because the mean of its divisors is an integer number (1168167).

Almost surely, 210680288 is an apocalyptic number.

It is an amenable number.

10680288 is an abundant number, since it is smaller than the sum of its proper divisors (17355720).

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

10680288 is a wasteful number, since it uses less digits than its factorization.

10680288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111266 (or 111258 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The square root of 10680288 is about 3268.0709906610. The cubic root of 10680288 is about 220.2221447601. Note that the first 3 decimals are identical.

Adding to 10680288 its reverse (88208601), we get a palindrome (98888889).

The spelling of 10680288 in words is "ten million, six hundred eighty thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 111253 222506 333759 445012 667518 890024 1335036 1780048 2670072 3560096 5340144 10680288