Search a number
-
+
6125402780 = 22572192314303
BaseRepresentation
bin1011011010001101…
…00011101010011100
3120210220000200221122
411231012203222130
5100021100342110
62451452350112
7304536031100
oct55506435234
916726020848
106125402780
1126636a2852
12122b475338
13768064bb3
14421733900
1525cb59255
hex16d1a3a9c

6125402780 has 144 divisors (see below), whose sum is σ = 16437012480. Its totient is φ = 1902966912.

The previous prime is 6125402749. The next prime is 6125402791. The reversal of 6125402780 is 872045216.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 6125402780.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 421109 + ... + 435411.

It is an arithmetic number, because the mean of its divisors is an integer number (114145920).

Almost surely, 26125402780 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 6125402780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8218506240).

6125402780 is an abundant number, since it is smaller than the sum of its proper divisors (10311609700).

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

6125402780 is a wasteful number, since it uses less digits than its factorization.

6125402780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14368 (or 14359 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 35.

The square root of 6125402780 is about 78264.9524372180. The cubic root of 6125402780 is about 1829.6929601230.

Adding to 6125402780 its reverse (872045216), we get a palindrome (6997447996).

The spelling of 6125402780 in words is "six billion, one hundred twenty-five million, four hundred two thousand, seven hundred eighty".

Divisors: 1 2 4 5 7 10 14 19 20 23 28 35 38 46 49 70 76 92 95 98 115 133 140 161 190 196 230 245 266 322 380 437 460 490 532 644 665 805 874 931 980 1127 1330 1610 1748 1862 2185 2254 2660 3059 3220 3724 4370 4508 4655 5635 6118 8740 9310 11270 12236 14303 15295 18620 21413 22540 28606 30590 42826 57212 61180 71515 85652 100121 107065 143030 200242 214130 271757 286060 328969 400484 428260 500605 543514 657938 700847 1001210 1087028 1315876 1358785 1401694 1644845 1902299 2002420 2302783 2717570 2803388 3289690 3504235 3804598 4605566 5435140 6250411 6579380 7008470 7609196 9211132 9511495 11513915 12500822 13316093 14016940 16119481 19022990 23027830 25001644 26632186 31252055 32238962 38045980 43752877 46055660 53264372 62504110 64477924 66580465 80597405 87505754 125008220 133160930 161194810 175011508 218764385 266321860 306270139 322389620 437528770 612540278 875057540 1225080556 1531350695 3062701390 6125402780