Search a number
-
+
287631090 = 232589149241
BaseRepresentation
bin10001001001001…
…110011011110010
3202001020011200100
4101021032123302
51042113143330
644312533230
710061552415
oct2111163362
9661204610
10287631090
111383a654a
12803b1216
1347789c16
142a2b3b7c
151a3b9060
hex1124e6f2

287631090 has 96 divisors (see below), whose sum is σ = 764478000. Its totient is φ = 75018240.

The previous prime is 287631083. The next prime is 287631119. The reversal of 287631090 is 90136782.

It can be written as a sum of positive squares in 8 ways, for example, as 57289761 + 230341329 = 7569^2 + 15177^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1193370 + ... + 1193610.

Almost surely, 2287631090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 287631090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382239000).

287631090 is an abundant number, since it is smaller than the sum of its proper divisors (476846910).

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

287631090 is a wasteful number, since it uses less digits than its factorization.

287631090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 287631090 is about 16959.6901504715. The cubic root of 287631090 is about 660.1033584685.

The spelling of 287631090 in words is "two hundred eighty-seven million, six hundred thirty-one thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 89 90 149 178 241 267 298 445 447 482 534 723 745 801 890 894 1205 1335 1341 1446 1490 1602 2169 2235 2410 2670 2682 3615 4005 4338 4470 6705 7230 8010 10845 13261 13410 21449 21690 26522 35909 39783 42898 64347 66305 71818 79566 107245 107727 119349 128694 132610 179545 193041 198915 214490 215454 238698 321735 323181 359090 386082 397830 538635 596745 643470 646362 965205 1077270 1193490 1615905 1930410 3195901 3231810 6391802 9587703 15979505 19175406 28763109 31959010 47938515 57526218 95877030 143815545 287631090