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87159960 = 23325832917
BaseRepresentation
bin1010011000111…
…11010010011000
320002000011222200
411030133102120
5134303104320
612352050200
72105563446
oct514372230
9202004880
1087159960
1145221628
1225233960
1315099354
14b80bb96
1579ba290
hex531f498

87159960 has 96 divisors (see below), whose sum is σ = 286781040. Its totient is φ = 22954752.

The previous prime is 87159959. The next prime is 87159967. The reversal of 87159960 is 6995178.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87159967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28422 + ... + 31338.

It is a vampire number, since it can be written as 87519960 (with its own digits).

Almost surely, 287159960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87159960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143390520).

87159960 is an abundant number, since it is smaller than the sum of its proper divisors (199621080).

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

87159960 is a wasteful number, since it uses less digits than its factorization.

87159960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3017 (or 3010 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The square root of 87159960 is about 9335.9498713307. The cubic root of 87159960 is about 443.3761630973.

The spelling of 87159960 in words is "eighty-seven million, one hundred fifty-nine thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 83 90 120 166 180 249 332 360 415 498 664 747 830 996 1245 1494 1660 1992 2490 2917 2988 3320 3735 4980 5834 5976 7470 8751 9960 11668 14585 14940 17502 23336 26253 29170 29880 35004 43755 52506 58340 70008 87510 105012 116680 131265 175020 210024 242111 262530 350040 484222 525060 726333 968444 1050120 1210555 1452666 1936888 2178999 2421110 2905332 3631665 4357998 4842220 5810664 7263330 8715996 9684440 10894995 14526660 17431992 21789990 29053320 43579980 87159960