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422065680 = 243516310789
BaseRepresentation
bin11001001010000…
…011011000010000
31002102012011021020
4121022003120100
51331022100210
6105514155440
713313333121
oct3112033020
91072164236
10422065680
111a7277213
12b9422b80
136959900a
14400aa048
15270c1770
hex19283610

422065680 has 80 divisors (see below), whose sum is σ = 1316552640. Its totient is φ = 111849984.

The previous prime is 422065669. The next prime is 422065751. The reversal of 422065680 is 86560224.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33726 + ... + 44514.

It is an arithmetic number, because the mean of its divisors is an integer number (16456908).

Almost surely, 2422065680 is an apocalyptic number.

422065680 is a gapful number since it is divisible by the number (40) 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 422065680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658276320).

422065680 is an abundant number, since it is smaller than the sum of its proper divisors (894486960).

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

422065680 is a wasteful number, since it uses less digits than its factorization.

422065680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10968 (or 10962 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 422065680 is about 20544.2371481640. The cubic root of 422065680 is about 750.1129785358.

The spelling of 422065680 in words is "four hundred twenty-two million, sixty-five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 163 240 326 489 652 815 978 1304 1630 1956 2445 2608 3260 3912 4890 6520 7824 9780 10789 13040 19560 21578 32367 39120 43156 53945 64734 86312 107890 129468 161835 172624 215780 258936 323670 431560 517872 647340 863120 1294680 1758607 2589360 3517214 5275821 7034428 8793035 10551642 14068856 17586070 21103284 26379105 28137712 35172140 42206568 52758210 70344280 84413136 105516420 140688560 211032840 422065680