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1025424640 = 2852361571
BaseRepresentation
bin111101000111101…
…011110100000000
32122110111222011101
4331013223310000
54100002042030
6245430224144
734260652132
oct7507536400
92573458141
101025424640
11486909789
122474b5054
1313459c756
149a289052
15600547ca
hex3d1ebd00

1025424640 has 144 divisors (see below), whose sum is σ = 2609582976. Its totient is φ = 385228800.

The previous prime is 1025424613. The next prime is 1025424641. The reversal of 1025424640 is 464245201.

1025424640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1025424599 and 1025424608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1025424641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1795555 + ... + 1796125.

It is an arithmetic number, because the mean of its divisors is an integer number (18122104).

Almost surely, 21025424640 is an apocalyptic number.

1025424640 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 1025424640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1304791488).

1025424640 is an abundant number, since it is smaller than the sum of its proper divisors (1584158336).

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

1025424640 is an equidigital number, since it uses as much as digits as its factorization.

1025424640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The square root of 1025424640 is about 32022.2522630748. The cubic root of 1025424640 is about 1008.4040540218.

Adding to 1025424640 its reverse (464245201), we get a palindrome (1489669841).

The spelling of 1025424640 in words is "one billion, twenty-five million, four hundred twenty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 61 64 80 92 115 122 128 160 184 230 244 256 305 320 368 460 488 571 610 640 736 920 976 1142 1220 1280 1403 1472 1840 1952 2284 2440 2806 2855 2944 3680 3904 4568 4880 5612 5710 5888 7015 7360 7808 9136 9760 11224 11420 13133 14030 14720 15616 18272 19520 22448 22840 26266 28060 29440 34831 36544 39040 44896 45680 52532 56120 65665 69662 73088 78080 89792 91360 105064 112240 131330 139324 146176 174155 179584 182720 210128 224480 262660 278648 348310 359168 365440 420256 448960 525320 557296 696620 730880 801113 840512 897920 1050640 1114592 1393240 1602226 1681024 1795840 2101280 2229184 2786480 3204452 3362048 4005565 4202560 4458368 5572960 6408904 8011130 8405120 8916736 11145920 12817808 16022260 16810240 22291840 25635616 32044520 44583680 51271232 64089040 102542464 128178080 205084928 256356160 512712320 1025424640