Search a number
-
+
4068815205 = 357313127479
BaseRepresentation
bin1111001010000101…
…0011000101100101
3101111120012020011110
43302201103011211
531313104041310
61511424455233
7202554234000
oct36241230545
911446166143
104068815205
1117a88160a4
1295677a519
134cac66b80
142a8548537
1518c319d20
hexf2853165

4068815205 has 128 divisors (see below), whose sum is σ = 8257536000. Its totient is φ = 1699875072.

The previous prime is 4068815203. The next prime is 4068815209. The reversal of 4068815205 is 5025188604.

It is not a de Polignac number, because 4068815205 - 21 = 4068815203 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4068815203) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8494156 + ... + 8494634.

It is an arithmetic number, because the mean of its divisors is an integer number (64512000).

Almost surely, 24068815205 is an apocalyptic number.

It is an amenable number.

4068815205 is an abundant number, since it is smaller than the sum of its proper divisors (4188720795).

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

4068815205 is a wasteful number, since it uses less digits than its factorization.

4068815205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 39.

The square root of 4068815205 is about 63787.2652259054. The cubic root of 4068815205 is about 1596.4524532845.

The spelling of 4068815205 in words is "four billion, sixty-eight million, eight hundred fifteen thousand, two hundred five".

Divisors: 1 3 5 7 13 15 21 35 39 49 65 91 105 127 147 195 245 273 343 381 455 479 635 637 735 889 1029 1365 1437 1651 1715 1905 1911 2395 2667 3185 3353 4445 4459 4953 5145 6223 6227 7185 8255 9555 10059 11557 13335 13377 16765 18669 18681 22295 23471 24765 31115 31135 34671 43561 43589 50295 57785 60833 66885 70413 80899 93345 93405 117355 130683 130767 164297 173355 182499 217805 217945 242697 304165 305123 352065 404495 425831 492891 566293 653415 653835 790829 821485 912495 915369 1213485 1277493 1525615 1698879 2129155 2135861 2372487 2464455 2831465 2980817 3954145 4576845 5535803 6387465 6407583 8494395 8942451 10679305 11862435 14904085 16607409 20865719 27679015 32037915 38750621 44712255 62597157 83037045 104328595 116251863 193753105 271254347 312985785 581259315 813763041 1356271735 4068815205