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687043168 = 25717210613
BaseRepresentation
bin101000111100110…
…111001001100000
31202212210102001021
4220330313021200
52401340340133
6152101415224
723011525210
oct5074671140
91685712037
10687043168
113228aa779
1217210a514
13ac453a26
1467364240
15404b352d
hex28f37260

687043168 has 72 divisors (see below), whose sum is σ = 1642282992. Its totient is φ = 277100544.

The previous prime is 687043163. The next prime is 687043169. The reversal of 687043168 is 861340786.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (687043163) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59430 + ... + 70042.

It is an arithmetic number, because the mean of its divisors is an integer number (22809486).

Almost surely, 2687043168 is an apocalyptic number.

687043168 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 687043168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (821141496).

687043168 is an abundant number, since it is smaller than the sum of its proper divisors (955239824).

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

687043168 is a wasteful number, since it uses less digits than its factorization.

687043168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10664 (or 10639 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 43.

The square root of 687043168 is about 26211.5083121899. The cubic root of 687043168 is about 882.3915525050.

The spelling of 687043168 in words is "six hundred eighty-seven million, forty-three thousand, one hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 68 112 119 136 224 238 272 289 476 544 578 952 1156 1904 2023 2312 3808 4046 4624 8092 9248 10613 16184 21226 32368 42452 64736 74291 84904 148582 169808 180421 297164 339616 360842 594328 721684 1188656 1262947 1443368 2377312 2525894 2886736 3067157 5051788 5773472 6134314 10103576 12268628 20207152 21470099 24537256 40414304 42940198 49074512 85880396 98149024 171760792 343521584 687043168