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10242747 = 333710253
BaseRepresentation
bin100111000100…
…101010111011
3201021101102000
4213010222323
510110231442
61003312043
7153030144
oct47045273
921241360
1010242747
115866589
12351b623
1321781c8
141508acb
15d74d4c
hex9c4abb

10242747 has 16 divisors (see below), whose sum is σ = 15586080. Its totient is φ = 6643296.

The previous prime is 10242733. The next prime is 10242761. The reversal of 10242747 is 74724201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10242733) and next prime (10242761).

It is not a de Polignac number, because 10242747 - 218 = 9980603 is a prime.

It is a super-2 number, since 2×102427472 = 209827732212018, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 10242747.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10242787) 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 15 ways as a sum of consecutive naturals, for example, 4128 + ... + 6125.

It is an arithmetic number, because the mean of its divisors is an integer number (974130).

Almost surely, 210242747 is an apocalyptic number.

10242747 is a deficient number, since it is larger than the sum of its proper divisors (5343333).

10242747 is a wasteful number, since it uses less digits than its factorization.

10242747 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10299 (or 10293 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 10242747 is about 3200.4291899681. The cubic root of 10242747 is about 217.1728255738.

Adding to 10242747 its reverse (74724201), we get a palindrome (84966948).

It can be divided in two parts, 102 and 42747, that added together give a square (42849 = 2072).

The spelling of 10242747 in words is "ten million, two hundred forty-two thousand, seven hundred forty-seven".

Divisors: 1 3 9 27 37 111 333 999 10253 30759 92277 276831 379361 1138083 3414249 10242747