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424205640 = 23335537411
BaseRepresentation
bin11001010010001…
…101110101001000
31002120012212202000
4121102031311020
51332044040030
6110032111000
713340455065
oct3122156510
91076185660
10424205640
111a84a8a81
12ba095460
1369b68071
14404a5c6c
1527395860
hex1948dd48

424205640 has 128 divisors (see below), whose sum is σ = 1440892800. Its totient is φ = 110972160.

The previous prime is 424205599. The next prime is 424205653. The reversal of 424205640 is 46502424.

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 (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53535 + ... + 60945.

It is an arithmetic number, because the mean of its divisors is an integer number (11256975).

Almost surely, 2424205640 is an apocalyptic number.

424205640 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 424205640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720446400).

424205640 is an abundant number, since it is smaller than the sum of its proper divisors (1016687160).

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

424205640 is a wasteful number, since it uses less digits than its factorization.

424205640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7484 (or 7474 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 424205640 is about 20596.2530572918. The cubic root of 424205640 is about 751.3785844539.

The spelling of 424205640 in words is "four hundred twenty-four million, two hundred five thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 53 54 60 72 90 106 108 120 135 159 180 212 216 265 270 318 360 424 477 530 540 636 795 954 1060 1080 1272 1431 1590 1908 2120 2385 2862 3180 3816 4770 5724 6360 7155 7411 9540 11448 14310 14822 19080 22233 28620 29644 37055 44466 57240 59288 66699 74110 88932 111165 133398 148220 177864 200097 222330 266796 296440 333495 392783 400194 444660 533592 666990 785566 800388 889320 1000485 1178349 1333980 1571132 1600776 1963915 2000970 2356698 2667960 3142264 3535047 3927830 4001940 4713396 5891745 7070094 7855660 8003880 9426792 10605141 11783490 14140188 15711320 17675235 21210282 23566980 28280376 35350470 42420564 47133960 53025705 70700940 84841128 106051410 141401880 212102820 424205640