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10242771 = 3711229139
BaseRepresentation
bin100111000100…
…101011010011
3201021101102220
4213010223103
510110232041
61003312123
7153030210
oct47045323
921241386
1010242771
115866600
12351b643
132178216
141508b07
15d74d66
hex9c4ad3

10242771 has 48 divisors (see below), whose sum is σ = 17875200. Its totient is φ = 5100480.

The previous prime is 10242769. The next prime is 10242787. The reversal of 10242771 is 17724201.

10242771 is digitally balanced in base 2, base 3 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10242771 - 21 = 10242769 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10242761) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73620 + ... + 73758.

It is an arithmetic number, because the mean of its divisors is an integer number (372400).

Almost surely, 210242771 is an apocalyptic number.

10242771 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10242771 is a deficient number, since it is larger than the sum of its proper divisors (7632429).

10242771 is a wasteful number, since it uses less digits than its factorization.

10242771 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 24.

The square root of 10242771 is about 3200.4329394630. The cubic root of 10242771 is about 217.1729951944.

Adding to 10242771 its reverse (17724201), we get a palindrome (27966972).

The spelling of 10242771 in words is "ten million, two hundred forty-two thousand, seven hundred seventy-one".

Divisors: 1 3 7 11 21 29 33 77 87 121 139 203 231 319 363 417 609 847 957 973 1529 2233 2541 2919 3509 4031 4587 6699 10527 10703 12093 16819 24563 28217 32109 44341 50457 73689 84651 117733 133023 310387 353199 487751 931161 1463253 3414257 10242771