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422020040 = 235132163383
BaseRepresentation
bin11001001001111…
…000001111001000
31002102002211122212
4121021320033020
51331014120130
6105513204252
713313053061
oct3111701710
91072084585
10422020040
111a72459a2
12b9400688
1369581300
1440097568
15270b2e95
hex192783c8

422020040 has 96 divisors (see below), whose sum is σ = 1037214720. Its totient is φ = 154462464.

The previous prime is 422020009. The next prime is 422020061. The reversal of 422020040 is 40020224.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 422019997 and 422020024.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1101689 + ... + 1102071.

It is an arithmetic number, because the mean of its divisors is an integer number (10804320).

Almost surely, 2422020040 is an apocalyptic number.

422020040 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 422020040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518607360).

422020040 is an abundant number, since it is smaller than the sum of its proper divisors (615194680).

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

422020040 is a wasteful number, since it uses less digits than its factorization.

422020040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

The square root of 422020040 is about 20543.1263443518. The cubic root of 422020040 is about 750.0859397817.

Adding to 422020040 its reverse (40020224), we get a palindrome (462040264).

The spelling of 422020040 in words is "four hundred twenty-two million, twenty thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 163 169 260 326 338 383 520 652 676 766 815 845 1304 1352 1532 1630 1690 1915 2119 3064 3260 3380 3830 4238 4979 6520 6760 7660 8476 9958 10595 15320 16952 19916 21190 24895 27547 39832 42380 49790 55094 62429 64727 84760 99580 110188 124858 129454 137735 199160 220376 249716 258908 275470 312145 323635 499432 517816 550940 624290 647270 811577 1101880 1248580 1294540 1623154 2497160 2589080 3246308 4057885 6492616 8115770 10550501 16231540 21101002 32463080 42202004 52752505 84404008 105505010 211010020 422020040