Search a number
-
+
687108852 = 223367269353
BaseRepresentation
bin101000111101000…
…111001011110100
31202212220202011000
4220331013023310
52401344440402
6152103043300
723012220543
oct5075071364
91685822130
10687108852
11322945061
12172140530
13ac4778b1
146738015a
15404c7c1c
hex28f472f4

687108852 has 96 divisors (see below), whose sum is σ = 1819843200. Its totient is φ = 224142336.

The previous prime is 687108827. The next prime is 687108871. The reversal of 687108852 is 258801786.

It is a junction number, because it is equal to n+sod(n) for n = 687108798 and 687108807.

It is a congruent number.

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, 1946308 + ... + 1946660.

It is an arithmetic number, because the mean of its divisors is an integer number (18956700).

Almost surely, 2687108852 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 687108852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (909921600).

687108852 is an abundant number, since it is smaller than the sum of its proper divisors (1132734348).

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

687108852 is a wasteful number, since it uses less digits than its factorization.

687108852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 702 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The square root of 687108852 is about 26212.7612433334. The cubic root of 687108852 is about 882.4196716308.

The spelling of 687108852 in words is "six hundred eighty-seven million, one hundred eight thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 67 108 134 201 268 269 353 402 538 603 706 804 807 1059 1076 1206 1412 1614 1809 2118 2412 2421 3177 3228 3618 4236 4842 6354 7236 7263 9531 9684 12708 14526 18023 19062 23651 29052 36046 38124 47302 54069 70953 72092 94604 94957 108138 141906 162207 189914 212859 216276 283812 284871 324414 379828 425718 486621 569742 638577 648828 851436 854613 973242 1139484 1277154 1709226 1946484 2554308 2563839 3418452 5127678 6362119 10255356 12724238 19086357 25448476 38172714 57259071 76345428 114518142 171777213 229036284 343554426 687108852