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87284670 = 235111913921
BaseRepresentation
bin1010011001111…
…01101110111110
320002020112001120
411030331232332
5134321102140
612354451410
72106623154
oct514755676
9202215046
1087284670
11452a72a0
1225293b66
1315111045
14b8413d4
1579e21d0
hex533dbbe

87284670 has 64 divisors (see below), whose sum is σ = 240572160. Its totient is φ = 20044800.

The previous prime is 87284669. The next prime is 87284677. The reversal of 87284670 is 7648278.

It is a super-2 number, since 2×872846702 = 15237227234017800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87284677) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 691 + ... + 13230.

It is an arithmetic number, because the mean of its divisors is an integer number (3758940).

Almost surely, 287284670 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87284670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120286080).

87284670 is an abundant number, since it is smaller than the sum of its proper divisors (153287490).

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

87284670 is a wasteful number, since it uses less digits than its factorization.

87284670 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13961.

The product of its (nonzero) digits is 150528, while the sum is 42.

The square root of 87284670 is about 9342.6265043616. The cubic root of 87284670 is about 443.5875257866.

The spelling of 87284670 in words is "eighty-seven million, two hundred eighty-four thousand, six hundred seventy".

Divisors: 1 2 3 5 6 10 11 15 19 22 30 33 38 55 57 66 95 110 114 165 190 209 285 330 418 570 627 1045 1254 2090 3135 6270 13921 27842 41763 69605 83526 139210 153131 208815 264499 306262 417630 459393 528998 765655 793497 918786 1322495 1531310 1586994 2296965 2644990 2909489 3967485 4593930 5818978 7934970 8728467 14547445 17456934 29094890 43642335 87284670