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1025424360 = 233451718617
BaseRepresentation
bin111101000111101…
…011101111101000
32122110111221210000
4331013223233220
54100002034420
6245430223000
734260651252
oct7507535750
92573457700
101025424360
11486909554
122474b4a60
1313459c59c
149a288cd2
1560054690
hex3d1ebbe8

1025424360 has 160 divisors (see below), whose sum is σ = 3649500360. Its totient is φ = 257347584.

The previous prime is 1025424349. The next prime is 1025424383. The reversal of 1025424360 is 634245201.

It can be written as a sum of positive squares in 4 ways, for example, as 1025408484 + 15876 = 32022^2 + 126^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 45772 + ... + 64388.

Almost surely, 21025424360 is an apocalyptic number.

1025424360 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 1025424360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1824750180).

1025424360 is an abundant number, since it is smaller than the sum of its proper divisors (2624076000).

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

1025424360 is a wasteful number, since it uses less digits than its factorization.

1025424360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18657 (or 18644 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 1025424360 is about 32022.2478911147. The cubic root of 1025424360 is about 1008.4039622377.

Adding to 1025424360 its reverse (634245201), we get a palindrome (1659669561).

The spelling of 1025424360 in words is "one billion, twenty-five million, four hundred twenty-four thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 27 30 34 36 40 45 51 54 60 68 72 81 85 90 102 108 120 135 136 153 162 170 180 204 216 255 270 306 324 340 360 405 408 459 510 540 612 648 680 765 810 918 1020 1080 1224 1377 1530 1620 1836 2040 2295 2754 3060 3240 3672 4590 5508 6120 6885 9180 11016 13770 18360 18617 27540 37234 55080 55851 74468 93085 111702 148936 167553 186170 223404 279255 316489 335106 372340 446808 502659 558510 632978 670212 744680 837765 949467 1005318 1117020 1265956 1340424 1507977 1582445 1675530 1898934 2010636 2234040 2513295 2531912 2848401 3015954 3164890 3351060 3797868 4021272 4747335 5026590 5696802 6031908 6329780 6702120 7539885 7595736 8545203 9494670 10053180 11393604 12063816 12659560 14242005 15079770 17090406 18989340 20106360 22787208 25635609 28484010 30159540 34180812 37978680 42726015 51271218 56968020 60319080 68361624 85452030 102542436 113936040 128178045 170904060 205084872 256356090 341808120 512712180 1025424360