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6061414060 = 22513251293317
BaseRepresentation
bin1011010010100100…
…11101011010101100
3120122102121201221001
411221102131122230
544403210222220
62441245050044
7303131112052
oct55122353254
916572551831
106061414060
112630568109
121211b56924
13757a1c550
144170381d2
1525721980a
hex16949d6ac

6061414060 has 96 divisors (see below), whose sum is σ = 13853270592. Its totient is φ = 2214528000.

The previous prime is 6061414049. The next prime is 6061414063. The reversal of 6061414060 is 604141606.

It is not an unprimeable number, because it can be changed into a prime (6061414063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19121022 + ... + 19121338.

It is an arithmetic number, because the mean of its divisors is an integer number (144304902).

Almost surely, 26061414060 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 6061414060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6926635296).

6061414060 is an abundant number, since it is smaller than the sum of its proper divisors (7791856532).

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

6061414060 is a wasteful number, since it uses less digits than its factorization.

6061414060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883 (or 881 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 6061414060 is about 77855.0837132682. The cubic root of 6061414060 is about 1823.2993788056.

Adding to 6061414060 its reverse (604141606), we get a palindrome (6665555666).

The spelling of 6061414060 in words is "six billion, sixty-one million, four hundred fourteen thousand, sixty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 251 260 293 317 502 586 634 1004 1172 1255 1268 1465 1585 2510 2930 3170 3263 3809 4121 5020 5860 6340 6526 7618 8242 13052 15236 16315 16484 19045 20605 32630 38090 41210 65260 73543 76180 79567 82420 92881 147086 159134 185762 294172 318268 367715 371524 397835 464405 735430 795670 928810 956059 1034371 1207453 1470860 1591340 1857620 1912118 2068742 2414906 3824236 4137484 4780295 4829812 5171855 6037265 9560590 10343710 12074530 19121180 20687420 23313131 24149060 46626262 93252524 116565655 233131310 303070703 466262620 606141406 1212282812 1515353515 3030707030 6061414060