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287666130 = 235431731289
BaseRepresentation
bin10001001001010…
…110111111010010
3202001021221202010
4101021112333102
51042120304010
644313403350
710062056523
oct2111267722
9661257663
10287666130
1113841a904
1280409556
134779cb5b
142a2c284a
151a3c4620
hex11256fd2

287666130 has 64 divisors (see below), whose sum is σ = 711089280. Its totient is φ = 74436096.

The previous prime is 287666117. The next prime is 287666147. The reversal of 287666130 is 31666782.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 222526 + ... + 223814.

It is an arithmetic number, because the mean of its divisors is an integer number (11110770).

Almost surely, 2287666130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 287666130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355544640).

287666130 is an abundant number, since it is smaller than the sum of its proper divisors (423423150).

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

287666130 is a wasteful number, since it uses less digits than its factorization.

287666130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1515.

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 287666130 is about 16960.7231567525. The cubic root of 287666130 is about 660.1301625743.

It can be divided in two parts, 2876 and 66130, that added together give a triangular number (69006 = T371).

The spelling of 287666130 in words is "two hundred eighty-seven million, six hundred sixty-six thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 43 86 129 173 215 258 346 430 519 645 865 1038 1289 1290 1730 2578 2595 3867 5190 6445 7439 7734 12890 14878 19335 22317 37195 38670 44634 55427 74390 110854 111585 166281 222997 223170 277135 332562 445994 554270 668991 831405 1114985 1337982 1662810 2229970 3344955 6689910 9588871 19177742 28766613 47944355 57533226 95888710 143833065 287666130