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424795140 = 2232571130649
BaseRepresentation
bin11001010100011…
…101110000000100
31002121022211101100
4121110131300010
51332221421030
6110052500100
713345461540
oct3124356004
91077284340
10424795140
111a8870970
12ba31a630
136a013493
14405baa20
1527460360
hex1951dc04

424795140 has 144 divisors (see below), whose sum is σ = 1606550400. Its totient is φ = 88266240.

The previous prime is 424795109. The next prime is 424795181. The reversal of 424795140 is 41597424.

It is a happy number.

424795140 is a `hidden beast` number, since 42 + 479 + 5 + 140 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 424795095 and 424795104.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1465 + ... + 29184.

It is an arithmetic number, because the mean of its divisors is an integer number (11156600).

Almost surely, 2424795140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424795140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803275200).

424795140 is an abundant number, since it is smaller than the sum of its proper divisors (1181755260).

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

424795140 is a wasteful number, since it uses less digits than its factorization.

424795140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30682 (or 30677 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 424795140 is about 20610.5589443858. The cubic root of 424795140 is about 751.7264759913.

The spelling of 424795140 in words is "four hundred twenty-four million, seven hundred ninety-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 11 12 14 15 18 20 21 22 28 30 33 35 36 42 44 45 55 60 63 66 70 77 84 90 99 105 110 126 132 140 154 165 180 198 210 220 231 252 308 315 330 385 396 420 462 495 630 660 693 770 924 990 1155 1260 1386 1540 1980 2310 2772 3465 4620 6930 13860 30649 61298 91947 122596 153245 183894 214543 275841 306490 337139 367788 429086 459735 551682 612980 643629 674278 858172 919470 1011417 1072715 1103364 1287258 1348556 1379205 1685695 1838940 1930887 2022834 2145430 2359973 2574516 2758410 3034251 3218145 3371390 3861774 4045668 4290860 4719946 5057085 5516820 6068502 6436290 6742780 7079919 7723548 9439892 9654435 10114170 11799865 12137004 12872580 14159838 15171255 19308870 20228340 21239757 23599730 28319676 30342510 35399595 38617740 42479514 47199460 60685020 70799190 84959028 106198785 141598380 212397570 424795140