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687139712 = 27719181223
BaseRepresentation
bin101000111101001…
…110101110000000
31202212222022110222
4220331032232000
52401401432322
6152103442212
723012406530
oct5075165600
91685868428
10687139712
11322966266
12172156368
13ac48895c
146738b4c0
15404d1e42
hex28f4eb80

687139712 has 128 divisors (see below), whose sum is σ = 1663334400. Its totient is φ = 276203520.

The previous prime is 687139681. The next prime is 687139751. The reversal of 687139712 is 217931786.

It is a tau number, because it is divible by the number of its divisors (128).

Its product of digits (127008) is a multiple of the sum of its prime divisors (432).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3081233 + ... + 3081455.

It is an arithmetic number, because the mean of its divisors is an integer number (12994800).

Almost surely, 2687139712 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 687139712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (831667200).

687139712 is an abundant number, since it is smaller than the sum of its proper divisors (976194688).

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

687139712 is a wasteful number, since it uses less digits than its factorization.

687139712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 432 counting only the distinct ones).

The product of its digits is 127008, while the sum is 44.

The square root of 687139712 is about 26213.3498813105. The cubic root of 687139712 is about 882.4328820867.

The spelling of 687139712 in words is "six hundred eighty-seven million, one hundred thirty-nine thousand, seven hundred twelve".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 128 133 152 181 223 224 266 304 362 446 448 532 608 724 892 896 1064 1216 1267 1448 1561 1784 2128 2432 2534 2896 3122 3439 3568 4237 4256 5068 5792 6244 6878 7136 8474 8512 10136 11584 12488 13756 14272 16948 17024 20272 23168 24073 24976 27512 28544 29659 33896 40363 40544 48146 49952 55024 59318 67792 80726 81088 96292 99904 110048 118636 135584 161452 162176 192584 199808 220096 237272 271168 282541 322904 385168 440192 474544 542336 565082 645808 766897 770336 949088 1130164 1291616 1533794 1540672 1898176 2260328 2583232 3067588 3081344 3796352 4520656 5166464 5368279 6135176 9041312 10736558 12270352 18082624 21473116 24540704 36165248 42946232 49081408 85892464 98162816 171784928 343569856 687139712