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285409240 = 23553612207
BaseRepresentation
bin10001000000101…
…111111111011000
3201220001021212121
4101000233333120
51041031043430
644153151024
710033636624
oct2100577730
9656037777
10285409240
11137119206
127b6bb474
134718c80c
1429c96184
151a0caa7a
hex1102ffd8

285409240 has 64 divisors (see below), whose sum is σ = 665314560. Its totient is φ = 110123520.

The previous prime is 285409217. The next prime is 285409253. The reversal of 285409240 is 42904582.

It is a junction number, because it is equal to n+sod(n) for n = 285409196 and 285409205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128217 + ... + 130423.

It is an arithmetic number, because the mean of its divisors is an integer number (10395540).

Almost surely, 2285409240 is an apocalyptic number.

285409240 is a gapful number since it is divisible by the number (20) 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 285409240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332657280).

285409240 is an abundant number, since it is smaller than the sum of its proper divisors (379905320).

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

285409240 is a wasteful number, since it uses less digits than its factorization.

285409240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2332 (or 2328 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 285409240 is about 16894.0593108939. The cubic root of 285409240 is about 658.3992735674.

The spelling of 285409240 in words is "two hundred eighty-five million, four hundred nine thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 53 61 106 122 212 244 265 305 424 488 530 610 1060 1220 2120 2207 2440 3233 4414 6466 8828 11035 12932 16165 17656 22070 25864 32330 44140 64660 88280 116971 129320 134627 233942 269254 467884 538508 584855 673135 935768 1077016 1169710 1346270 2339420 2692540 4678840 5385080 7135231 14270462 28540924 35676155 57081848 71352310 142704620 285409240