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285130240 = 295127877
BaseRepresentation
bin10000111111101…
…011111000000000
3201212112010011021
4100333223320000
51040443131430
644143155224
710031365333
oct2077537000
9655463137
10285130240
11136a4862a
127b5a5b14
13470c2825
1429c2261a
151a07307a
hex10febe00

285130240 has 80 divisors (see below), whose sum is σ = 689812992. Its totient is φ = 113025024.

The previous prime is 285130231. The next prime is 285130243. The reversal of 285130240 is 42031582.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (285130243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 324682 + ... + 325558.

Almost surely, 2285130240 is an apocalyptic number.

285130240 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 285130240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344906496).

285130240 is an abundant number, since it is smaller than the sum of its proper divisors (404682752).

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

285130240 is an equidigital number, since it uses as much as digits as its factorization.

285130240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1027 (or 1011 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 285130240 is about 16885.7999514385. The cubic root of 285130240 is about 658.1846656054.

The spelling of 285130240 in words is "two hundred eighty-five million, one hundred thirty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 127 128 160 254 256 320 508 512 635 640 877 1016 1270 1280 1754 2032 2540 2560 3508 4064 4385 5080 7016 8128 8770 10160 14032 16256 17540 20320 28064 32512 35080 40640 56128 65024 70160 81280 111379 112256 140320 162560 222758 224512 280640 325120 445516 449024 556895 561280 891032 1113790 1122560 1782064 2227580 2245120 3564128 4455160 7128256 8910320 14256512 17820640 28513024 35641280 57026048 71282560 142565120 285130240