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10211868 = 2232419677
BaseRepresentation
bin100110111101…
…001000011100
3201012211001100
4212331020130
510103234433
61002513100
7152541132
oct46751034
921184040
1010211868
115845367
123505790
132167134
1414db752
15d6ab13
hex9bd21c

10211868 has 36 divisors (see below), whose sum is σ = 25913160. Its totient is φ = 3390816.

The previous prime is 10211867. The next prime is 10211891. The reversal of 10211868 is 86811201.

10211868 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 tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10211867) 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, 14746 + ... + 15422.

It is an arithmetic number, because the mean of its divisors is an integer number (719810).

Almost surely, 210211868 is an apocalyptic number.

10211868 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10211868 is an abundant number, since it is smaller than the sum of its proper divisors (15701292).

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

10211868 is a wasteful number, since it uses less digits than its factorization.

10211868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1106 (or 1101 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 10211868 is about 3195.6013518585. The cubic root of 10211868 is about 216.9543675770.

The spelling of 10211868 in words is "ten million, two hundred eleven thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 419 677 838 1257 1354 1676 2031 2514 2708 3771 4062 5028 6093 7542 8124 12186 15084 24372 283663 567326 850989 1134652 1701978 2552967 3403956 5105934 10211868