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1420576512 = 28359107293
BaseRepresentation
bin101010010101100…
…0100011100000000
310200000001202121220
41110223010130000
510402131422022
6352543515040
750126462325
oct12453043400
93600052556
101420576512
11669973183
123378b8a80
13198404424
14d694ab4c
1584aab85c
hex54ac4700

1420576512 has 144 divisors (see below), whose sum is σ = 3894065280. Its totient is φ = 459575296.

The previous prime is 1420576489. The next prime is 1420576529. The reversal of 1420576512 is 2156750241.

It is a super-2 number, since 2×14205765122 = 4036075252892172288, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4848238 + ... + 4848530.

It is an arithmetic number, because the mean of its divisors is an integer number (27042120).

Almost surely, 21420576512 is an apocalyptic number.

1420576512 is a gapful number since it is divisible by the number (12) 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 1420576512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1947032640).

1420576512 is an abundant number, since it is smaller than the sum of its proper divisors (2473488768).

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

1420576512 is a wasteful number, since it uses less digits than its factorization.

1420576512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The square root of 1420576512 is about 37690.5361065613. The cubic root of 1420576512 is about 1124.1429553530.

The spelling of 1420576512 in words is "one billion, four hundred twenty million, five hundred seventy-six thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 64 96 107 118 128 177 192 214 236 256 293 321 354 384 428 472 586 642 708 768 856 879 944 1172 1284 1416 1712 1758 1888 2344 2568 2832 3424 3516 3776 4688 5136 5664 6313 6848 7032 7552 9376 10272 11328 12626 13696 14064 15104 17287 18752 18939 20544 22656 25252 27392 28128 31351 34574 37504 37878 41088 45312 50504 51861 56256 62702 69148 75008 75756 82176 94053 101008 103722 112512 125404 138296 151512 188106 202016 207444 225024 250808 276592 303024 376212 404032 414888 501616 553184 606048 752424 808064 829776 1003232 1106368 1212096 1504848 1616128 1659552 1849709 2006464 2212736 2424192 3009696 3319104 3699418 4012928 4425472 4848384 5549127 6019392 6638208 7398836 8025856 11098254 12038784 13276416 14797672 22196508 24077568 29595344 44393016 59190688 88786032 118381376 177572064 236762752 355144128 473525504 710288256 1420576512