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427006240 = 25519913411
BaseRepresentation
bin11001011100111…
…001100100100000
31002202111011102221
4121130321210200
51333303144430
6110212120424
713403331103
oct3134714440
91082434387
10427006240
111aa041121
12bb006114
136a608a1b
14409d473a
152774a57a
hex19739920

427006240 has 48 divisors (see below), whose sum is σ = 1013947200. Its totient is φ = 169931520.

The previous prime is 427006231. The next prime is 427006259. The reversal of 427006240 is 42600724.

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 7 ways as a sum of consecutive naturals, for example, 25135 + ... + 38545.

It is an arithmetic number, because the mean of its divisors is an integer number (21123900).

Almost surely, 2427006240 is an apocalyptic number.

427006240 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 427006240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506973600).

427006240 is an abundant number, since it is smaller than the sum of its proper divisors (586940960).

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

427006240 is a wasteful number, since it uses less digits than its factorization.

427006240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13625 (or 13617 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 25.

The square root of 427006240 is about 20664.1293066028. The cubic root of 427006240 is about 753.0284893576.

Adding to 427006240 its reverse (42600724), we get a palindrome (469606964).

The spelling of 427006240 in words is "four hundred twenty-seven million, six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 199 398 796 995 1592 1990 3184 3980 6368 7960 13411 15920 26822 31840 53644 67055 107288 134110 214576 268220 429152 536440 1072880 2145760 2668789 5337578 10675156 13343945 21350312 26687890 42700624 53375780 85401248 106751560 213503120 427006240