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287005135 = 5171012331
BaseRepresentation
bin10001000110110…
…101100111001111
3202000001101000211
4101012311213033
51041433131020
644251303251
710053334444
oct2106654717
9660041024
10287005135
1113800922a
128014ab27
13475cb031
142a18d9cb
151a2e385a
hex111b59cf

287005135 has 24 divisors (see below), whose sum is σ = 369424368. Its totient is φ = 213312000.

The previous prime is 287005129. The next prime is 287005139. The reversal of 287005135 is 531500782.

It is not a de Polignac number, because 287005135 - 29 = 287004623 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 287005097 and 287005106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (287005139) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 866920 + ... + 867250.

It is an arithmetic number, because the mean of its divisors is an integer number (15392682).

Almost surely, 2287005135 is an apocalyptic number.

287005135 is a deficient number, since it is larger than the sum of its proper divisors (82419233).

287005135 is a wasteful number, since it uses less digits than its factorization.

287005135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 31.

The square root of 287005135 is about 16941.2259001526. The cubic root of 287005135 is about 659.6241623587.

The spelling of 287005135 in words is "two hundred eighty-seven million, five thousand, one hundred thirty-five".

Divisors: 1 5 17 85 101 331 505 1655 1717 5627 8585 10201 28135 33431 51005 167155 173417 568327 867085 2841635 3376531 16882655 57401027 287005135