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6102425340 = 223251129106277
BaseRepresentation
bin1011010111011101…
…11001111011111100
3120202021210022211100
411223232321323330
544444210102330
62445312053100
7304136521344
oct55356717374
916667708740
106102425340
112651729530
121223834190
1376337b48b
1441c671d24
1525ab1b060
hex16bbb9efc

6102425340 has 144 divisors (see below), whose sum is σ = 20890003680. Its totient is φ = 1428349440.

The previous prime is 6102425327. The next prime is 6102425341. The reversal of 6102425340 is 435242016.

6102425340 is a `hidden beast` number, since 610 + 2 + 4 + 2 + 5 + 3 + 40 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6102425341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4282 + ... + 110558.

It is an arithmetic number, because the mean of its divisors is an integer number (145069470).

Almost surely, 26102425340 is an apocalyptic number.

6102425340 is a gapful number since it is divisible by the number (60) 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 6102425340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10445001840).

6102425340 is an abundant number, since it is smaller than the sum of its proper divisors (14787578340).

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

6102425340 is a wasteful number, since it uses less digits than its factorization.

6102425340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106332 (or 106327 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 6102425340 is about 78118.0218643560. The cubic root of 6102425340 is about 1827.4022624035.

Adding to 6102425340 its reverse (435242016), we get a palindrome (6537667356).

The spelling of 6102425340 in words is "six billion, one hundred two million, four hundred twenty-five thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 29 30 33 36 44 45 55 58 60 66 87 90 99 110 116 132 145 165 174 180 198 220 261 290 319 330 348 396 435 495 522 580 638 660 870 957 990 1044 1276 1305 1595 1740 1914 1980 2610 2871 3190 3828 4785 5220 5742 6380 9570 11484 14355 19140 28710 57420 106277 212554 318831 425108 531385 637662 956493 1062770 1169047 1275324 1594155 1912986 2125540 2338094 3082033 3188310 3507141 3825972 4676188 4782465 5845235 6164066 6376620 7014282 9246099 9564930 10521423 11690470 12328132 14028564 15410165 17535705 18492198 19129860 21042846 23380940 27738297 30820330 33902363 35071410 36984396 42085692 46230495 52607115 55476594 61640660 67804726 70142820 92460990 101707089 105214230 110953188 135609452 138691485 169511815 184921980 203414178 210428460 277382970 305121267 339023630 406828356 508535445 554765940 610242534 678047260 1017070890 1220485068 1525606335 2034141780 3051212670 6102425340