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1242000552 = 23313172310181
BaseRepresentation
bin100101000000111…
…0110110010101000
310012120001011110110
41022001312302220
510020423004202
6323124214320
742530554602
oct11201666250
93176034413
101242000552
11588093441
122a7b3a3a0
1316a40b790
14bad44172
157408526c
hex4a076ca8

1242000552 has 128 divisors (see below), whose sum is σ = 3694844160. Its totient is φ = 344002560.

The previous prime is 1242000547. The next prime is 1242000587. The reversal of 1242000552 is 2550002421.

It is a happy number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 116902 + ... + 127082.

It is an arithmetic number, because the mean of its divisors is an integer number (28865970).

Almost surely, 21242000552 is an apocalyptic number.

1242000552 is a gapful number since it is divisible by the number (12) 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 1242000552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1847422080).

1242000552 is an abundant number, since it is smaller than the sum of its proper divisors (2452843608).

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

1242000552 is a wasteful number, since it uses less digits than its factorization.

1242000552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10243 (or 10239 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 1242000552 is about 35242.0282049714. The cubic root of 1242000552 is about 1074.9145205513.

Adding to 1242000552 its reverse (2550002421), we get a palindrome (3792002973).

The spelling of 1242000552 in words is "one billion, two hundred forty-two million, five hundred fifty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 13 17 23 24 26 34 39 46 51 52 68 69 78 92 102 104 136 138 156 184 204 221 276 299 312 391 408 442 552 598 663 782 884 897 1173 1196 1326 1564 1768 1794 2346 2392 2652 3128 3588 4692 5083 5304 7176 9384 10166 10181 15249 20332 20362 30498 30543 40664 40724 60996 61086 81448 121992 122172 132353 173077 234163 244344 264706 346154 397059 468326 519231 529412 692308 702489 794118 936652 1038462 1058824 1384616 1404978 1588236 1873304 2076924 2250001 2809956 3044119 3176472 3980771 4153848 4500002 5619912 6088238 6750003 7961542 9000004 9132357 11942313 12176476 13500006 15923084 18000008 18264714 23884626 24352952 27000012 31846168 36529428 47769252 51750023 54000024 73058856 95538504 103500046 155250069 207000092 310500138 414000184 621000276 1242000552