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1242335024 = 247473443
BaseRepresentation
bin100101000001100…
…1000011100110000
310012120200011021022
41022003020130300
510021014210044
6323135315012
742533450000
oct11203103460
93176604238
101242335024
115882a1767
122a807ba68
1316a4c7aa8
14badd0000
15740ee3ee
hex4a0c8730

1242335024 has 100 divisors (see below), whose sum is σ = 2852919336. Its totient is φ = 523950336.

The previous prime is 1242335009. The next prime is 1242335033. The reversal of 1242335024 is 4205332421.

It is a junction number, because it is equal to n+sod(n) for n = 1242334984 and 1242335002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2804147 + ... + 2804589.

Almost surely, 21242335024 is an apocalyptic number.

1242335024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1242335024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1426459668).

1242335024 is an abundant number, since it is smaller than the sum of its proper divisors (1610584312).

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

1242335024 is an frugal number, since it uses more digits than its factorization.

1242335024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

The square root of 1242335024 is about 35246.7732423835. The cubic root of 1242335024 is about 1075.0110037453.

Adding to 1242335024 its reverse (4205332421), we get a palindrome (5447667445).

The spelling of 1242335024 in words is "one billion, two hundred forty-two million, three hundred thirty-five thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 73 98 112 146 196 292 343 392 443 511 584 686 784 886 1022 1168 1372 1772 2044 2401 2744 3101 3544 3577 4088 4802 5488 6202 7088 7154 8176 9604 12404 14308 19208 21707 24808 25039 28616 32339 38416 43414 49616 50078 57232 64678 86828 100156 129356 151949 173656 175273 200312 226373 258712 303898 347312 350546 400624 452746 517424 607796 701092 905492 1063643 1215592 1402184 1584611 1810984 2127286 2431184 2804368 3169222 3621968 4254572 6338444 8509144 11092277 12676888 17018288 22184554 25353776 44369108 77645939 88738216 155291878 177476432 310583756 621167512 1242335024