Search a number
-
+
1025216060 = 225113192027
BaseRepresentation
bin111101000110111…
…000111000111100
32122110010101001012
4331012320320330
54044423403220
6245421534352
734256123051
oct7506707074
92573111035
101025216060
11486787000
122474143b8
1313452882b
149a233028
1560012ac5
hex3d1b8e3c

1025216060 has 96 divisors (see below), whose sum is σ = 2493953280. Its totient is φ = 353010240.

The previous prime is 1025216021. The next prime is 1025216069. The reversal of 1025216060 is 606125201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1025216069) 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, 504767 + ... + 506793.

It is an arithmetic number, because the mean of its divisors is an integer number (25978680).

Almost surely, 21025216060 is an apocalyptic number.

1025216060 is a gapful number since it is divisible by the number (10) 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 1025216060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1246976640).

1025216060 is an abundant number, since it is smaller than the sum of its proper divisors (1468737220).

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

1025216060 is a wasteful number, since it uses less digits than its factorization.

1025216060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2088 (or 2064 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 1025216060 is about 32018.9952996655. The cubic root of 1025216060 is about 1008.3356767622.

The spelling of 1025216060 in words is "one billion, twenty-five million, two hundred sixteen thousand, sixty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 110 121 190 209 220 242 380 418 484 605 836 1045 1210 1331 2027 2090 2299 2420 2662 4054 4180 4598 5324 6655 8108 9196 10135 11495 13310 20270 22297 22990 25289 26620 38513 40540 44594 45980 50578 77026 89188 101156 111485 126445 154052 192565 222970 245267 252890 385130 423643 445940 490534 505780 770260 847286 981068 1226335 1694572 2118215 2452670 2697937 4236430 4660073 4905340 5395874 8472860 9320146 10791748 13489685 18640292 23300365 26979370 46600730 51260803 53958740 93201460 102521606 205043212 256304015 512608030 1025216060