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240245028 = 223423103313
BaseRepresentation
bin11100101000111…
…01100100100100
3121202001201020000
432110131210210
5443000320103
635501141300
75645022552
oct1624354444
9552051200
10240245028
11113680711
126855a830
133aa0852a
1423c9abd2
1516158aa3
hexe51d924

240245028 has 120 divisors (see below), whose sum is σ = 663831168. Its totient is φ = 75613824.

The previous prime is 240245021. The next prime is 240245039. The reversal of 240245028 is 820542042.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 240244992 and 240245010.

It is not an unprimeable number, because it can be changed into a prime (240245021) 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 39 ways as a sum of consecutive naturals, for example, 767400 + ... + 767712.

Almost surely, 2240245028 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 240245028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331915584).

240245028 is an abundant number, since it is smaller than the sum of its proper divisors (423586140).

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

240245028 is a wasteful number, since it uses less digits than its factorization.

240245028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 240245028 is about 15499.8396120734. The cubic root of 240245028 is about 621.6579178603.

The spelling of 240245028 in words is "two hundred forty million, two hundred forty-five thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 81 92 103 108 138 162 206 207 276 309 313 324 412 414 618 621 626 828 927 939 1236 1242 1252 1854 1863 1878 2369 2484 2781 2817 3708 3726 3756 4738 5562 5634 7107 7199 7452 8343 8451 9476 11124 11268 14214 14398 16686 16902 21321 21597 25353 28428 28796 32239 33372 33804 42642 43194 50706 63963 64478 64791 85284 86388 96717 101412 127926 128956 129582 191889 193434 194373 255852 259164 290151 383778 386868 388746 580302 583119 741497 767556 777492 870453 1160604 1166238 1482994 1740906 2224491 2332476 2611359 2965988 3481812 4448982 5222718 6673473 8897964 10445436 13346946 20020419 26693892 40040838 60061257 80081676 120122514 240245028