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427335040 = 27511101601
BaseRepresentation
bin11001011110001…
…001110110000000
31002210002212110201
4121132021312000
51333344210130
6110223134544
713406200516
oct3136116600
91083085421
10427335040
111aa246160
12bb144454
136a6c2592
1440a7c4b6
15277b2bca
hex19789d80

427335040 has 128 divisors (see below), whose sum is σ = 1127377440. Its totient is φ = 153600000.

The previous prime is 427335037. The next prime is 427335049. The reversal of 427335040 is 40533724.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427335049) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 710740 + ... + 711340.

Almost surely, 2427335040 is an apocalyptic number.

427335040 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 427335040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563688720).

427335040 is an abundant number, since it is smaller than the sum of its proper divisors (700042400).

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

427335040 is a wasteful number, since it uses less digits than its factorization.

427335040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 28.

The square root of 427335040 is about 20672.0835911623. The cubic root of 427335040 is about 753.2217201356.

Adding to 427335040 its reverse (40533724), we get a palindrome (467868764).

The spelling of 427335040 in words is "four hundred twenty-seven million, three hundred thirty-five thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 101 110 128 160 176 202 220 320 352 404 440 505 601 640 704 808 880 1010 1111 1202 1408 1616 1760 2020 2222 2404 3005 3232 3520 4040 4444 4808 5555 6010 6464 6611 7040 8080 8888 9616 11110 12020 12928 13222 16160 17776 19232 22220 24040 26444 32320 33055 35552 38464 44440 48080 52888 60701 64640 66110 71104 76928 88880 96160 105776 121402 132220 142208 177760 192320 211552 242804 264440 303505 355520 384640 423104 485608 528880 607010 667711 711040 846208 971216 1057760 1214020 1335422 1942432 2115520 2428040 2670844 3338555 3884864 4231040 4856080 5341688 6677110 7769728 9712160 10683376 13354220 19424320 21366752 26708440 38848640 42733504 53416880 85467008 106833760 213667520 427335040