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10242340 = 2253713841
BaseRepresentation
bin100111000100…
…100100100100
3201021100211221
4213010210210
510110223330
61003310124
7153026023
oct47044444
921240757
1010242340
115866249
12351b344
132177c74
1415088ba
15d74b7a
hex9c4924

10242340 has 24 divisors (see below), whose sum is σ = 22091832. Its totient is φ = 3985920.

The previous prime is 10242329. The next prime is 10242343. The reversal of 10242340 is 4324201.

It can be written as a sum of positive squares in 4 ways, for example, as 1982464 + 8259876 = 1408^2 + 2874^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10242343) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6181 + ... + 7660.

It is an arithmetic number, because the mean of its divisors is an integer number (920493).

Almost surely, 210242340 is an apocalyptic number.

10242340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10242340 is an abundant number, since it is smaller than the sum of its proper divisors (11849492).

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

10242340 is a wasteful number, since it uses less digits than its factorization.

10242340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13887 (or 13885 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 10242340 is about 3200.3656041146. The cubic root of 10242340 is about 217.1699490501.

Adding to 10242340 its reverse (4324201), we get a palindrome (14566541).

It can be divided in two parts, 1024 and 2340, that added together give a square (3364 = 582).

The spelling of 10242340 in words is "ten million, two hundred forty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 740 13841 27682 55364 69205 138410 276820 512117 1024234 2048468 2560585 5121170 10242340